Li, Wen; Cui, Baotong; Mu, Wenying; Zhang, Xiaojiao Input-to-state stability of switched polynomial nonlinear systems. (Chinese. English summary) Zbl 1340.93172 Math. Pract. Theory 44, No. 7, 243-247 (2014). Summary: Based on dissipation inequalities, the Input-to-State Stability (ISS) of switched polynomial nonlinear systems is considered. Sufficient conditions are developed to ensure the ISS of switched polynomial nonlinear systems under arbitrary switching signals. A sum of squares decomposition approach is provided to search for an ISS common Lyapunov function for switched polynomial nonlinear systems. The effectiveness of the proposed method is illustrated by a numerical example. MSC: 93D25 Input-output approaches in control theory 93C10 Nonlinear systems in control theory 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) Keywords:switched systems; input-to-state stability; dissipation inequalities; sum of squares decomposition PDFBibTeX XMLCite \textit{W. Li} et al., Math. Pract. Theory 44, No. 7, 243--247 (2014; Zbl 1340.93172)