We provide a converse Lyapunov theorem for differential inclusions with upper semicontinuous right-hand side, admitting a finite number of compact, globally attractive, weakly invariant sets, and evolving on Riemannian manifolds. Such properties entail multistable behavior in differential inclusions and may gather interest in a number of applications where uncertainty and discontinuities of the vector field play a major role. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Smooth Lyapunov Functions for Multistable Differential Inclusions / Forni, Paolo; Angeli, David. - ELETTRONICO. - 50:(2017), pp. 1661-1666. (Intervento presentato al convegno IFAC World Congress) [10.1016/j.ifacol.2017.08.334].
Smooth Lyapunov Functions for Multistable Differential Inclusions
Angeli, David
2017
Abstract
We provide a converse Lyapunov theorem for differential inclusions with upper semicontinuous right-hand side, admitting a finite number of compact, globally attractive, weakly invariant sets, and evolving on Riemannian manifolds. Such properties entail multistable behavior in differential inclusions and may gather interest in a number of applications where uncertainty and discontinuities of the vector field play a major role. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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