https://puma.ub.uni-stuttgart.de/tag/function,NonlinearPUMA RSS feed for /tag/function,Nonlinear2026-04-04T23:31:16+02:00https://puma.ub.uni-stuttgart.de/bibtex/20dcd4e1334f5e024a8178d1fefe6a792/tcunistcunis2023-01-10T09:19:16+01:00Lyapunov analysis,Polynomial analysis,Switching function,Nonlinear functions methods,Stability myown <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Torbjørn Cunis" itemprop="url" href="/person/117da1fede1cd18ec4336e295170d0610/author/0"><span itemprop="name">T. Cunis</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jean-Philippe Condomines" itemprop="url" href="/person/117da1fede1cd18ec4336e295170d0610/author/1"><span itemprop="name">J. Condomines</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Laurent Burlion" itemprop="url" href="/person/117da1fede1cd18ec4336e295170d0610/author/2"><span itemprop="name">L. Burlion</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Automatica</span>, </em> </span>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Tue Jan 10 09:19:16 CET 2023Automatica108773{Local stability analysis for large polynomial spline systems}1132020Lyapunov analysis,Polynomial analysis,Switching function,Nonlinear functions methods,Stability myown {\textcopyright} 2019 Elsevier Ltd Polynomial switching systems such as multivariate splines provide accurate fitting while retaining an algebraic representation and offering arbitrary degrees of smoothness; yet, application of sum-of-squares techniques for local stability analysis is computationally demanding for a large number of subdomains. This communiqu{\'{e}} presents an algorithm for region of attraction estimation that is confined to those subdomains actually covered by the estimate, thereby significantly reducing computation time. Correctness of the results is subsequently proven and the run time is approximated in terms of the number of total and covered subdomains. Application to longitudinal aircraft motion concludes the study.