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• W1977291814 abstract "In this paper we extend to a generic class of piecewise smooth dynamical systems a fundamental tool for the analysis of convergence of smooth dynamical systems: contraction theory. We focus on switched nondifferentiable systems satisfying Carathéodory conditions for the existence and uniqueness of a solution. After generalizing the classical definition of contraction to this class of dynamical systems, we give sufficient conditions for global convergence of their trajectories. The theoretical results are then applied to solve a set of representative problems such as proving global asymptotic stability of switched linear systems, giving conditions for incremental stability of piecewise smooth systems, and analyzing the convergence of networked switched systems." @default.
• W1977291814 created "2016-06-24" @default.
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• W1977291814 creator A5034953482 @default.
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• W1977291814 date "2014-01-01" @default.
• W1977291814 modified "2023-10-03" @default.
• W1977291814 title "Contraction Analysis for a Class of NonDifferentiable Systems with Applications to Stability and Network Synchronization" @default.
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• W1977291814 doi "https://doi.org/10.1137/120883001" @default.
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