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• W3034240491 endingPage "109123" @default.
• W3034240491 startingPage "109123" @default.
• W3034240491 abstract "Starting from a finite family of continuously differentiable positive definite functions, we study conditions under which a function obtained by max-min combinations is a Lyapunov function, establishing stability for two kinds of nonlinear dynamical systems: a) Differential inclusions where the set-valued right-hand-side comprises the convex hull of a finite number of vector fields, and b) Autonomous switched systems with a state-dependent switching signal. We investigate generalized notions of directional derivatives for these max-min functions, and use them in deriving stability conditions with various degrees of conservatism, where more conservative conditions are numerically more tractable. The proposed constructions also provide nonconvex Lyapunov functions, which are shown to be useful for systems with state-dependent switching that do not admit a convex Lyapunov function. Several examples are included to illustrate the results." @default.
• W3034240491 created "2020-06-19" @default.
• W3034240491 creator A5014892272 @default.
• W3034240491 creator A5023173503 @default.
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• W3034240491 date "2020-10-01" @default.
• W3034240491 modified "2023-10-17" @default.
• W3034240491 title "Max–min Lyapunov functions for switched systems and related differential inclusions" @default.
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• W3034240491 doi "https://doi.org/10.1016/j.automatica.2020.109123" @default.
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