文章基本信息

标题：Construction of continuous and piecewise affine Lyapunov functions via a finite-time converse
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作者：Tom R.V. Steentjes ; Tom R.V. Steentjes ; Alina I. Doban 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：18
页码：13-18
DOI：10.1016/j.ifacol.2016.10.132
语种：English
出版社：Elsevier
摘要：Abstract: A novel numerical Massera-type approach for the computation of Lyapunov functions (LFs) for nonlinear continuous-time systems is presented. The construction is enabled by verifying a finite-time decrease condition for a candidate function, which is allowed to be any K ∞ function of the norm of the state, and applying a converse Lyapunov theorem. In the construction we make use of approximated system trajectories and we obtain a continuous and piecewise affine (CPA) LF. By optimization, the obtained CPA LF is verified and an estimate of the domain of attraction is obtained. Several examples are presented for illustration and demonstration of the effectiveness of the proposed approach.
关键词：KeywordsLyapunov methodscomputational methodsstability domainsnonlinear systemsnumerical algorithmsstability analysis