文章基本信息

标题：Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation ⁎
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作者：Robert Baier ; Philipp Braun ; Lars Grüne 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：370-375
DOI：10.1016/j.ifacol.2019.11.808
语种：English
出版社：Elsevier
摘要：We review the numerical computation of control Lyapunov functions for switched systems in the Filippov sense and in the sample-and-hold sense. The computed (control) Lyapunov functions are piecewise affine and the decrease conditions involve either generalized gradients or the Dini subderivate. Further conditions for stabilization or stabilizability yield a (mixed-integer) linear program.
关键词：Keywords(control) Lyapunov functionasymptotic stabilitycontrollabilityswitched systemspiecewise linear analysislinear programmingmixed-integer problems