{"c7e68ae5f3894d810752300311254adeinspo5":{"DOI":"10.1016/j.jmbbm.2024.106740","ISBN":"","ISSN":"","URL":"https://www.sciencedirect.com/science/article/pii/S1751616124003722?via%3Dihub","abstract":"Digital human body models are used to simulate injuries that occur as a result of vehicle collisions, vibration, sports, and falls. Given enough time the body’s musculature can generate force, affect the body’s movements, and change the risk of some injuries. The finite-element code LS-DYNA is often used to simulate the movements and injuries sustained by the digital human body models as a result of an accident. In this work, we evaluate the accuracy of the three muscle models in LS-DYNA (MAT_156, EHTM, and the VEXAT) when simulating a range of experiments performed on isolated muscle: force-length-velocity experiments on maximally and sub-maximally stimulated muscle, active-lengthening experiments, and vibration experiments. The force-length-velocity experiments are included because these conditions are typical of the muscle activity that precedes an accident, while the active-lengthening and vibration experiments mimic conditions that can cause injury. The three models perform similarly during the maximally and sub-maximally activated force-length-velocity experiments, but noticeably differ in response to the active-lengthening and vibration experiments. The VEXAT model is able to generate the enhanced forces of biological muscle during active lengthening, while both the MAT_156 and EHTM produce too little force. In response to vibration, the stiffness and damping of the VEXAT model closely follows the experimental data while the MAT_156 and EHTM models differ substantially. The accuracy of the VEXAT model comes from two additional mechanical structures that are missing in the MAT_156 and EHTM models: viscoelastic cross-bridges, and an active titin filament. To help others build on our work we have made our simulation code publicly available.","annote":"","author":[{"family":"Millard","given":"Matthew"},{"family":"Stutzig","given":"Norman"},{"family":"Fehr","given":"Jörg"},{"family":"Siebert","given":"Tobias"}],"citation-label":"millard2024benchmark","collection-editor":[],"collection-title":"","container-author":[],"container-title":"ScienceDirect Elsevier","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2024","09"]],"literal":"2024"},"event-place":"","id":"c7e68ae5f3894d810752300311254adeinspo5","interhash":"f87d2c872f2e6f474113b724ada23083","intrahash":"c7e68ae5f3894d810752300311254ade","issue":"","issued":{"date-parts":[["2024","09"]],"literal":"2024"},"keyword":"lengthening Active Force-length Force-velocity relation Benchmark LS-DYNA Muscle model Impedance","misc":{"language":"English","doi":"10.1016/j.jmbbm.2024.106740"},"note":"","number":"","page":"","page-first":"","publisher":"","publisher-place":"","status":"","title":"A benchmark of muscle models to length changes great and small","type":"article-journal","username":"inspo5","version":"","volume":""},"08d0a73ed0768f494d3b8dd77accb45delkepeter":{"DOI":"10.1088/1361-6544/aa4ff9","ISBN":"","ISSN":"0951-7715","URL":"https://doi.org/10.1088/1361-6544/aa4ff9","abstract":"\"Numerical evidence is provided that there are non-constant permittivity profiles which force solutions to a two-dimensional coupled moving boundary problem modelling microelectromechanical systems to be positive, while the corresponding small-aspect ratio model produces solutions which are always non-positive.''","annote":"","author":[{"family":"Escher","given":"Joachim"},{"family":"Gosselet","given":"Pierre"},{"family":"Lienstromberg","given":"Christina"}],"citation-label":"MR3604351","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Nonlinearity","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2017"]],"literal":"2017"},"event-place":"","id":"08d0a73ed0768f494d3b8dd77accb45delkepeter","interhash":"79f0baee887e352b5f1182906cfee6bf","intrahash":"08d0a73ed0768f494d3b8dd77accb45d","issue":"2","issued":{"date-parts":[["2017"]],"literal":"2017"},"keyword":"Lienstromberg IADM systems microelectromechanical for model reduction","misc":{"mrclass":"35R35 (35B09 35B44 35K20 35K58 74M05)","fjournal":"Nonlinearity","mrnumber":"3604351","issn":"0951-7715","doi":"10.1088/1361-6544/aa4ff9"},"note":"","number":"2","number-of-pages":"11","page":"454--465","page-first":"454","publisher":"","publisher-place":"","status":"","title":"A note on model reduction for microelectromechanical systems","type":"article-journal","username":"elkepeter","version":"","volume":"30"},"109b403efc1ed2df33dbe51dee5053a8inspo5":{"DOI":"10.1016/j.jbiomech.2020.109694","ISBN":"","ISSN":"","URL":"https://doi.org/10.1016%2Fj.jbiomech.2020.109694","abstract":"","annote":"","author":[{"family":"Schenk","given":"Philipp"},{"family":"Papenkort","given":"Stefan"},{"family":"Böl","given":"Markus"},{"family":"Siebert","given":"Tobias"},{"family":"Grassme","given":"Roland"},{"family":"Rode","given":"Christian"}],"citation-label":"Schenk_2020","collection-editor":[{"family":"Siebert","given":"Tobias"}],"collection-title":"","container-author":[{"family":"Siebert","given":"Tobias"}],"container-title":"Journal of Biomechanics","documents":[],"edition":"","editor":[{"family":"Siebert","given":"Tobias"}],"event-date":{"date-parts":[["2020","04"]],"literal":"2020"},"event-place":"","id":"109b403efc1ed2df33dbe51dee5053a8inspo5","interhash":"fdf6fd718e0d6b5993e811c89f5ac2e6","intrahash":"109b403efc1ed2df33dbe51dee5053a8","issue":"","issued":{"date-parts":[["2020","04"]],"literal":"2020"},"keyword":"Pennation angle Rabbit length Muscle model Fascicle architecture soleus","misc":{"doi":"10.1016/j.jbiomech.2020.109694"},"note":"","number":"","page":"109694","page-first":"109694","publisher":"Elsevier BV","publisher-place":"","status":"","title":"A simple geometrical model accounting for 3D muscle architectural changes across muscle lengths","type":"article-journal","username":"inspo5","version":"","volume":"103"},"ed947ea3f941527dbb669066bc155938inspo5":{"DOI":"https://doi.org/10.1007/s10237-021-01492-y","ISBN":"","ISSN":"","URL":"https://link.springer.com/article/10.1007/s10237-021-01492-y","abstract":"Muscle architecture, which includes parameters like fascicle length, pennation angle, and physiological cross-sectional area, strongly influences skeletal muscles' mechanical properties. During maturation, the muscle architecture has to adapt to a growing organism. This study aimed to develop an architectural model capable of predicting the complete 3D fascicle architecture for primarily unipennate muscles of an arbitrary age, based on fascicle data for an initial age. For model development, we collected novel data on 3D muscle architecture of the rabbit (Oryctolagus cuniculus) M. plantaris of eight animals ranging in age from 29 to 106 days. Experimental results show that plantaris muscle belly length increases by 73%, whereas mean fascicle length and mean pennation angle increases by 39 and 14%, respectively. Those changes were incorporated into the model. In addition to the data collected for M. plantaris the predictions of the model were compared to existing literature data of rabbit M. soleus and M. gastrocnemius medialis. With an error of −1.0 ± 8.6% for relative differences in aponeurosis length, aponeurosis width, muscle height, and muscle mass, the model delivered good results matching interindividual differences. For future studies, the model could be utilized to generate realistic architectural data sets for simulation studies.","annote":"","author":[],"citation-label":"leichsenring2021architectural","collection-editor":[{"family":"Siebert","given":"Tobias"}],"collection-title":"","container-author":[{"family":"Siebert","given":"Tobias"}],"container-title":"Biomechanics and Modeling in Mechanobiology","documents":[],"edition":"","editor":[{"family":"Siebert","given":"Tobias"}],"event-date":{"date-parts":[["2021","07"]],"literal":"2021"},"event-place":"","id":"ed947ea3f941527dbb669066bc155938inspo5","interhash":"458e289e4840dfd9ef33052068cda6f6","intrahash":"ed947ea3f941527dbb669066bc155938","issue":"20","issued":{"date-parts":[["2021","07"]],"literal":"2021"},"keyword":"morphology Aponeurosis Pennation angle length Muscle model Fascicle architecture","misc":{"language":"English","doi":"https://doi.org/10.1007/s10237-021-01492-y"},"note":"","number":"20","number-of-pages":"13","page":"2031–2044","page-first":"2031","publisher":"","publisher-place":"","status":"","title":"Architectural model for muscle growth during maturation.","type":"article-journal","username":"inspo5","version":"","volume":""},"3d83071c7cda47dc4505597be2791325inspo5":{"DOI":"10.1007/s10237-021-01492-y","ISBN":"","ISSN":"1617-7940","URL":"https://doi.org/10.1007/s10237-021-01492-y","abstract":"Muscle architecture, which includes parameters like fascicle length, pennation angle, and physiological cross-sectional area, strongly influences skeletal muscles' mechanical properties. During maturation, the muscle architecture has to adapt to a growing organism. This study aimed to develop an architectural model capable of predicting the complete 3D fascicle architecture for primarily unipennate muscles of an arbitrary age, based on fascicle data for an initial age. For model development, we collected novel data on 3D muscle architecture of the rabbit (Oryctolagus cuniculus) M. plantaris of eight animals ranging in age from 29 to 106 days. Experimental results show that plantaris muscle belly length increases by 73\\%, whereas mean fascicle length and mean pennation angle increases by 39 and 14\\%, respectively. Those changes were incorporated into the model. In addition to the data collected for M. plantaris the predictions of the model were compared to existing literature data of rabbit M. soleus and M. gastrocnemius medialis. With an error of −1.0þinspace±þinspace8.6\\% for relative differences in aponeurosis length, aponeurosis width, muscle height, and muscle mass, the model delivered good results matching interindividual differences. For future studies, the model could be utilized to generate realistic architectural data sets for simulation studies.","annote":"","author":[{"family":"Papenkort","given":"Stefan"},{"family":"Boel","given":"Markus"},{"family":"Siebert","given":"Tobias"}],"citation-label":"Papenkort2021","collection-editor":[{"family":"Siebert","given":"Tobias"}],"collection-title":"","container-author":[{"family":"Siebert","given":"Tobias"}],"container-title":"Biomechanics and Modeling in Mechanobiology","documents":[],"edition":"","editor":[{"family":"Siebert","given":"Tobias"}],"event-date":{"date-parts":[["2021","10","01"]],"literal":"2021"},"event-place":"","id":"3d83071c7cda47dc4505597be2791325inspo5","interhash":"ec21172a48abe9631c89ebcb05ad0767","intrahash":"3d83071c7cda47dc4505597be2791325","issue":"5","issued":{"date-parts":[["2021","10","01"]],"literal":"2021"},"keyword":"morphology Papenkort length Fascicle Inspo Pennation Aponeurosis angle Muscle model Siebert architecture","misc":{"issn":"1617-7940","doi":"10.1007/s10237-021-01492-y"},"note":"","number":"5","number-of-pages":"13","page":"2031--2044","page-first":"2031","publisher":"","publisher-place":"","status":"","title":"Architectural model for muscle growth during maturation","type":"article-journal","username":"inspo5","version":"","volume":"20"},"a00dbe6e94fbed05e1f65387e1cfa492ist_bib":{"DOI":"10.1109/TAC.2016.2625048","ISBN":"","ISSN":"0018-9286","URL":"","abstract":"","annote":"","author":[{"family":"Lorenzen","given":"Matthias"},{"family":"Dabbene","given":"Fabrizio"},{"family":"Tempo","given":"Roberto"},{"family":"Allgöwer","given":"Frank"}],"citation-label":"ist:lorenzen17c","collection-editor":[],"collection-title":"","container-author":[],"container-title":"IEEE Trans. Automat. Control","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2017"]],"literal":"2017"},"event-place":"","id":"a00dbe6e94fbed05e1f65387e1cfa492ist_bib","interhash":"c14944e4b706b9649e4b475979c37909","intrahash":"a00dbe6e94fbed05e1f65387e1cfa492","issue":"7","issued":{"date-parts":[["2017"]],"literal":"2017"},"keyword":"control;chance stability;Numerical processes;Uncertainty;Stochastic control;randomized Asymptotic stability;Optimization;Predictive predictive control horizon constraints;constrained control;discrete-time stochastic control;Robustness;Stochastic model systems;predictive algorithms;receding","misc":{"issn":"0018-9286","doi":"10.1109/TAC.2016.2625048"},"note":"","number":"7","number-of-pages":"12","page":"3165-3177","page-first":"3165","publisher":"","publisher-place":"","status":"","title":"Constraint-Tightening and Stability in Stochastic Model Predictive Control","type":"article-journal","username":"ist_bib","version":"","volume":"62"},"85c6e9c824d74fdf0e755bbb5047f46bist_bib":{"DOI":"10.1002/rnc.3912","ISBN":"","ISSN":"","URL":"","abstract":"","annote":"","author":[{"family":"Lorenzen","given":"Matthias"},{"family":"Müller","given":"Matthias A."},{"family":"Allgöwer","given":"Frank"}],"citation-label":"ist:lorenzen17e","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Int. J. Robust and Nonlinear Control","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2017"]],"literal":"2017"},"event-place":"","id":"85c6e9c824d74fdf0e755bbb5047f46bist_bib","interhash":"4a17018254c269847067be31fd3a6270","intrahash":"85c6e9c824d74fdf0e755bbb5047f46b","issue":"","issued":{"date-parts":[["2017"]],"literal":"2017"},"keyword":"without predictive control terminal constraints, constrained systems, nonlinear stochastic control, model MPC","misc":{"doi":"10.1002/rnc.3912"},"note":"","number":"","page":"","page-first":"","publisher":"","publisher-place":"","status":"","title":"Stochastic Model Predictive Control without Terminal Constraints","type":"article-journal","username":"ist_bib","version":"","volume":""},"4a7890bb48ce264f381573d60be3c800ist_bib":{"DOI":"https://doi.org/10.1016/j.automatica.2018.07.001","ISBN":"","ISSN":"0005-1098","URL":"http://www.sciencedirect.com/science/article/pii/S0005109818303479","abstract":"","annote":"","author":[{"family":"Köhler","given":"Philipp N."},{"family":"Müller","given":"Matthias A."},{"family":"Allgöwer","given":"Frank"}],"citation-label":"ist:koehler2018","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Automatica","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2018"]],"literal":"2018"},"event-place":"","id":"4a7890bb48ce264f381573d60be3c800ist_bib","interhash":"95c640eac92b191d085b92888f140111","intrahash":"4a7890bb48ce264f381573d60be3c800","issue":"","issued":{"date-parts":[["2018"]],"literal":"2018"},"keyword":"Economic systems Distributed Collaborative predictive control, model","misc":{"issn":"0005-1098","doi":"https://doi.org/10.1016/j.automatica.2018.07.001"},"note":"","number":"","number-of-pages":"11","page":"368 - 379","page-first":"368","publisher":"","publisher-place":"","status":"","title":"A distributed economic MPC framework for cooperative control under conflicting objectives","type":"article-journal","username":"ist_bib","version":"","volume":"96"},"44761cbc79b03531d61a698163675d72ist_bib":{"DOI":"https://doi.org/10.1016/j.automatica.2017.11.007","ISBN":"","ISSN":"0005-1098","URL":"http://www.sciencedirect.com/science/article/pii/S0005109817305484","abstract":"","annote":"","author":[{"family":"Bayer","given":"Florian A."},{"family":"Müller","given":"Matthias A."},{"family":"Allgöwer","given":"Frank"}],"citation-label":"ist:bayer18a","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Automatica","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2018"]],"literal":"2018"},"event-place":"","id":"44761cbc79b03531d61a698163675d72ist_bib","interhash":"3f7b1054dec22734f21e17afb2d7a8de","intrahash":"44761cbc79b03531d61a698163675d72","issue":"","issued":{"date-parts":[["2018"]],"literal":"2018"},"keyword":"Economic disturbances Robust predictive Stochastic control, model","misc":{"issn":"0005-1098","doi":"https://doi.org/10.1016/j.automatica.2017.11.007"},"note":"","number":"","number-of-pages":"8","page":"98 - 106","page-first":"98","publisher":"","publisher-place":"","status":"","title":"On optimal system operation in robust economic MPC","type":"article-journal","username":"ist_bib","version":"","volume":"88"},"6c36981e661041cc94b573a0415660d4mhartmann":{"DOI":"10.1007/s10444-014-9367-y","ISBN":"","ISSN":"1019-7168","URL":"http://dx.doi.org/10.1007/s10444-014-9367-y","abstract":"Complex physical models depending on microstructures developing over\n\ttime often result in simulation schemes that are very demanding concerning\n\tcomputational time. The two-scale model considered in the current\n\tpresentation describes a phase transition of a binary mixture with\n\tthe evolution of equiaxed dendritic microstructures. It consists\n\tof a macroscopic heat equation and a family of microscopic cell problems\n\tmodeling the phase transition. Those phase transitions need to be\n\tresolved by very fine computational meshes leading to the demanding\n\tnumerical complexity. The current study presents a reduced version\n\tof this two-scale model. The reduction aims at accelerating the microscopic\n\tmodel, which is parametrized by the macroscopic temperature, while\n\tmaintaining the accuracy of the detailed system. Parameter dependency,\n\tnon-linearity, time-dependency, coupled field-variables and high\n\tsolution complexity are challenging difficulties. They are addressed\n\tby a combination of several approaches: Proper Orthogonal Decomposition\n\t(POD), Empirical Interpolation Method (EIM) and a partitioning approach\n\tgenerating sub-models for different solution regimes. A new partitioning\n\tcriterion based on feature extraction is applied. The applicability\n\tof the reduction scheme is demonstrated experimentally: while the\n\taccuracy is largely maintained, the dimensionality of the detailed\n\tmodel and the computation time are reduced significantly.","annote":"","author":[{"family":"Redeker","given":"Magnus"},{"family":"Haasdonk","given":"Bernard"}],"citation-label":"redeker2015podeim","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Advances in Computational Mathematics","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2015"]],"literal":"2015"},"event-place":"","id":"6c36981e661041cc94b573a0415660d4mhartmann","interhash":"281ab3f9ebcc66666b576054b40b68a1","intrahash":"6c36981e661041cc94b573a0415660d4","issue":"5","issued":{"date-parts":[["2015"]],"literal":"2015"},"keyword":"reduction; Empirical two-scale decomposition; Parametrized 78M34 Proper orthogonal interpolation; Model model; vorlaeufig","misc":{"issn":"1019-7168","file":":http\\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/Redeker2014_www_preprint_POD_EIM_crystal_growth.pdf:PDF","owner":"redeker","language":"English","doi":"10.1007/s10444-014-9367-y"},"note":"","number":"5","number-of-pages":"26","page":"987--1013","page-first":"987","publisher":"Springer US","publisher-place":"","status":"","title":"A POD-EIM reduced two-scale model for crystal growth","type":"article-journal","username":"mhartmann","version":"","volume":"41"},"c9ff784e6a0440b80b45055fa2c9df7emhartmann":{"DOI":"","ISBN":"","ISSN":"","URL":"http://www.ifac-papersonline.net/","abstract":"This work is concerned with derivation of fully offine/online decomposable\n\teffcient aposteriori error estimators for reduced parameterized nonlinear\n\tkernel-based systems. The dynamical systems under consideration consist\n\tof a nonlinear, time- and parameter-dependent kernel expansion representing\n\tthe system's inner dynamics as well as time- and parameter-affne\n\tinputs, initial conditions and outputs. The estimators are established\n\tfor a reduction technique originally proposed in [7] and are an extension\n\tof the estimators derived in [11] to the fully time-dependent, parameterized\n\tsetting. Key features for the effcient error estimation are to use\n\tlocal Lipschitz constants provided by a certain class of kernels\n\tand an iterative scheme to balance computation cost against estimation\n\tsharpness. Together with the affnely time/parameter-dependent system\n\tcomponents a full offine/online decomposition for both the reduction\n\tprocess and the error estimators is possible. Some experimental results\n\tfor synthetic systems illustrate the effcient evaluation of the derived\n\terror estimators for different parameters.","annote":"","author":[{"family":"Wirtz","given":"Daniel"},{"family":"Haasdonk","given":"Bernard"}],"citation-label":"wirtz2012aposteriori","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Proc. MATHMOD 2012 - 7th Vienna International Conference on Mathematical\n\tModelling","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2012"]],"literal":"2012"},"event-place":"","id":"c9ff784e6a0440b80b45055fa2c9df7emhartmann","interhash":"e6dce191069323c30bda8a87cce2913a","intrahash":"c9ff784e6a0440b80b45055fa2c9df7e","issue":"","issued":{"date-parts":[["2012"]],"literal":"2012"},"keyword":"subspace error dynamical kernel a-posteriori methods, systems, nonlinear offline/online decomposition, parameterized projection estimates, model vorlaeufig reduction,","misc":{"owner":"haasdonk"},"note":"","number":"","page":"","page-first":"","publisher":"","publisher-place":"","status":"","title":"A-posteriori error estimation for parameterized kernel-based systems","type":"paper-conference","username":"mhartmann","version":"","volume":""},"31349ea93435c3ff57fe0a82903585admhartmann":{"DOI":"http://dx.doi.org/10.1016/j.compchemeng.2016.02.016","ISBN":"","ISSN":"0098-1354","URL":"http://www.sciencedirect.com/science/article/pii/S0098135416300503","abstract":"","annote":"","author":[{"family":"Barth","given":"Andrea"},{"family":"B�rger","given":"Raimund"},{"family":"Kröker","given":"Ilja"},{"family":"Rohde","given":"Christian"}],"citation-label":"barth2016computational","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Computers & Chemical Engineering","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2016"]],"literal":"2016"},"event-place":"","id":"31349ea93435c3ff57fe0a82903585admhartmann","interhash":"30f48a0a2ba2fcd4d880f12e258508a3","intrahash":"31349ea93435c3ff57fe0a82903585ad","issue":"","issued":{"date-parts":[["2016"]],"literal":"2016"},"keyword":"Clarifier-thickener model vorlaeufig","misc":{"issn":"0098-1354","owner":"seusdd","doi":"http://dx.doi.org/10.1016/j.compchemeng.2016.02.016"},"note":"","number":"","number-of-pages":"15","page":"11 -- 26","page-first":"11","publisher":"","publisher-place":"","status":"","title":"Computational uncertainty quantification for a clarifier-thickener\n\tmodel with several random perturbations: A hybrid stochastic Galerkin\n\tapproach","type":"article-journal","username":"mhartmann","version":"","volume":"89"},"699c9caf6155e0598d9c980105b8118dmhartmann":{"DOI":"10.1016/j.sysconle.2011.10.012","ISBN":"","ISSN":"","URL":"http://www.sciencedirect.com/science/article/pii/S0167691111002672","abstract":"In this paper, we consider the topic of model reduction for nonlinear\n\tdynamical systems based on kernel expansions. Our approach allows\n\tfor a full offline/online decomposition and efficient online computation\n\tof the reduced model. In particular, we derive an a-posteriori state-space\n\terror estimator for the reduction error. A key ingredient is a local\n\tLipschitz constant estimation that enables rigorous a-posteriori\n\terror estimation. The computation of the error estimator is realized\n\tby solving an auxiliary differential equation during online simulations.\n\tEstimation iterations can be performed that allow a balancing between\n\testimation sharpness and computation time. Numerical experiments\n\tdemonstrate the estimation improvement over different estimator versions\n\tand the rigor and effectiveness of the error bounds.","annote":"","author":[{"family":"Wirtz","given":"D."},{"family":"Haasdonk","given":"B."}],"citation-label":"wirtz2012efficient","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Systems and Control Letters","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2012"]],"literal":"2012"},"event-place":"","id":"699c9caf6155e0598d9c980105b8118dmhartmann","interhash":"e80ae72fe2c1f9f79f4f7f8f5ce00735","intrahash":"699c9caf6155e0598d9c980105b8118d","issue":"1","issued":{"date-parts":[["2012"]],"literal":"2012"},"keyword":"subspace error dynamical kernel a-posteriori methods, systems, nonlinear offline/online decomposition, projection estimates, model vorlaeufig reduction,","misc":{"file":":/home/dwirtz/dwirtzwww/WH10_preprint.pdf:PDF","doi":"10.1016/j.sysconle.2011.10.012"},"note":"","number":"1","number-of-pages":"8","page":"203 - 211","page-first":"203","publisher":"","publisher-place":"","status":"","title":"Efficient a-posteriori error estimation for nonlinear kernel-based\n\treduced systems","type":"article-journal","username":"mhartmann","version":"","volume":"61"},"dcb21103437cb4ebf80c756eaf9ef3c3hermann":{"DOI":"10.1016/j.automatica.2016.08.008","ISBN":"","ISSN":"0005-1098","URL":"","abstract":"In this paper, we develop a new tube-based robust economic MPC scheme\n   for linear time-invariant systems subject to bounded disturbances with\n   given distributions. By using the error distribution in the predictions\n   of the finite horizon optimal control problem, we can incorporate\n   stochastic information in order to improve the expected performance\n   while being able to guarantee strict feasibility. For this new\n   framework, we can provide bounds on the asymptotic average performance\n   of the closed-loop system. Moreover, a constructive approach is\n   presented in order to find an appropriate terminal cost leading to a\n   slight degradation of the bound on the guaranteed average performance.\n   (C) 2016 Elsevier Ltd. All rights reserved.","annote":"","author":[{"family":"Bayer","given":"Florian A."},{"family":"Lorenzen","given":"Matthias"},{"family":"Mueller","given":"Matthias A."},{"family":"Allgoewer","given":"Frank"}],"citation-label":"ISI:000389087200019","collection-editor":[],"collection-title":"","container-author":[],"container-title":"AUTOMATICA","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["{2016}","DEC"]],"literal":"{2016}"},"event-place":"THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND","id":"dcb21103437cb4ebf80c756eaf9ef3c3hermann","interhash":"b689c53efff9b074185e5894e0685f79","intrahash":"dcb21103437cb4ebf80c756eaf9ef3c3","issue":"","issued":{"date-parts":[["{2016}","DEC"]],"literal":"{2016}"},"keyword":"disturbances} Robust {Economic control; predictive Stochastic model","misc":{"author-email":"{bayer@ist.uni-stuttgart.de\n   lorenzen@ist.uni-stuttgart.de\n   mueller@ist.uni-stuttgart.de\n   allgower@ist.uni-stuttgart.de}","issn":"{0005-1098}","keywords-plus":"{CONSTRAINED LINEAR-SYSTEMS; RECEDING HORIZON CONTROL; TERMINAL COST;\n   DISTURBANCES; STABILITY; SET}","funding-acknowledgement":"{German Research Foundation (DFG) {[}MU3929/1-1, AL 316/12-1]; Cluster of\n   Excellence in Simulation Technology at the University of Stuttgart\n   {[}EXC 310/2]; Baden-Wurttemberg Stiftung}","research-areas":"{Automation \\& Control Systems; Engineering}","eissn":"{1873-2836}","number-of-cited-references":"{33}","affiliation":"{Bayer, FA (Reprint Author), Univ Stuttgart, Inst Syst Theory \\& Automat Control, D-70550 Stuttgart, Germany.\n   Bayer, Florian A.; Lorenzen, Matthias; Mueller, Matthias A.; Allgoewer, Frank, Univ Stuttgart, Inst Syst Theory \\& Automat Control, D-70550 Stuttgart, Germany.}","web-of-science-categories":"{Automation \\& Control Systems; Engineering, Electrical \\& Electronic}","language":"{English}","funding-text":"{The authors would like to thank the German Research Foundation (DFG) for\n   financial support of the project within the research grants MU3929/1-1\n   and AL 316/12-1 as well as within the Cluster of Excellence in\n   Simulation Technology (EXC 310/2) at the University of Stuttgart.\n   Matthias A. Muller is also indebted to the Baden-Wurttemberg Stiftung\n   for the financial support of this research project by the Eliteprogramme\n   for Postdocs.}","times-cited":"{0}","doi":"{10.1016/j.automatica.2016.08.008}"},"note":"","number":"","number-of-pages":"10","page":"151-161","page-first":"151","publisher":"PERGAMON-ELSEVIER SCIENCE LTD","publisher-place":"THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND","status":"","title":"Robust economic Model Predictive Control using stochastic information","type":"article-journal","username":"hermann","version":"","volume":"74"},"d9062433be0c4b616475e4c88f465222hermann":{"DOI":"10.2139/ssrn.2571033","ISBN":"","ISSN":"","URL":"","abstract":"Industrie 4.0 (I40), i.e. the implementation of cyber-physical systems along the entire value chain and a far reaching digitalization of products and processes, is regarded as a significant agent of change in our current industrial system. While the previous discussion of I40 has been centered on technologies and standards, our focus is on business models (BM) for and enabled by I40. Having the right I40 BM will ultimately decide about companies’ market positions and profitability. This calls for a systematic process for business model innovation (BMI). The previous academic literature has offered mostly conceptual reviews to date. Empirical analyses of management approaches and processes applied for BMI are scarce. Based on an exploratory research design, we present the results of a comparative interview study with large companies and industry associations. We analyze I40 business model characteristics, provide an in-depth perspective of companies’ processes, structures and tools for BMI and derive upcoming practices as well as key competencies for BMI in the course of I40. Our results indicate a diverse picture. While some companies have dedicated BMI structures in place and lead I40 BMI, others could benefit from complementing existing product and service development with a systematic approach to BMI, building the fundamental capability to exploit the opportunities of I40.","annote":"","author":[{"family":"Burmeister","given":"Christian"},{"family":"Luettgens","given":"Dirk"},{"family":"Piller","given":"Frank T."}],"citation-label":"burmeister2015business","collection-editor":[],"collection-title":"","container-author":[],"container-title":"SSRN eLibrary","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2015"]],"literal":"2015"},"event-place":"http://ssrn.com/paper=2571033","id":"d9062433be0c4b616475e4c88f465222hermann","interhash":"a0171bee19bce882c28faa39e1bd05f4","intrahash":"d9062433be0c4b616475e4c88f465222","issue":"","issued":{"date-parts":[["2015"]],"literal":"2015"},"keyword":"Business Model industrie4.0","misc":{"location":"http://ssrn.com/paper=2571033","language":"English","doi":"10.2139/ssrn.2571033"},"note":"","number":"","page":"","page-first":"","publisher":"SSRN","publisher-place":"http://ssrn.com/paper=2571033","status":"","title":"Business Model Innovation for Industrie 4.0: Why the 'Industrial Internet' Mandates a New Perspective on Innovation","type":"article-journal","username":"hermann","version":"","volume":""}}