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- W3204203987 abstract "This article concerns robustness analysis for interconnections of two dynamical systems (described by upper semicontinuous differential inclusions) using a generalized notion of derivatives associated with locally Lipschitz Lyapunov functions obtained from a finite family of differentiable functions. We first provide sufficient conditions for input-to-state stability for differential inclusions, using a class of nonsmooth (but locally Lipschitz) candidate Lyapunov functions and the concept of Lie generalized derivative. In general our conditions are less conservative than the more common Clarke derivative-based conditions. We apply our result to state-dependent switched systems, and to the interconnection of two differential inclusions. As an example, we propose an observer-based controller for certain nonlinear two-mode state-dependent switched systems." @default.
- W3204203987 created "2021-10-11" @default.
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- W3204203987 date "2022-08-01" @default.
- W3204203987 modified "2023-09-25" @default.
- W3204203987 title "Nonpathological ISS-Lyapunov Functions for Interconnected Differential Inclusions" @default.
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- W3204203987 doi "https://doi.org/10.1109/tac.2021.3115437" @default.
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