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Input-to-state stability of switched polynomial nonlinear systems. (Chinese. English summary) Zbl 1340.93172

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)
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