Differential inclusions and monotoncicity conditions for nonsmooth Lyapunov functions

DOI10.1023/A:1008763931789zbMath0982.34045OpenAlexW1511896267MaRDI QIDQ5926379

Mazzi, Luisa, Andrea Bacciotti, Francesca Ceragioli

Publication date: 15 April 2002

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008763931789

zbMATH Keywords

Clarke generalized gradientcontingent derivativedifferential inclusiongeneralized derivativesnonsmooth Lyapunov functionproximal subdifferential

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Ordinary differential inclusions (34A60) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability of solutions to ordinary differential equations (34D20)

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Lyapunov functions for evolution variational inequalities with uniformly prox-regular sets ⋮ Stability in the continuous case ⋮ New approaching condition for sliding mode control design with Lipschitz switching surface ⋮ Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions ⋮ Stability and invariance results for a class of non-monotone set-valued Lur’e dynamical systems ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Gap functions and globally projected differential inclusions on Riemannian manifolds ⋮ Separable Lyapunov functions for monotone systems: constructions and limitations

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