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  • 标题:Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation ⁎
  • 本地全文:下载
  • 作者:Robert Baier ; Philipp Braun ; Lars Grüne
  • 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
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