Sufficient conditions for robustness of \({\mathcal{KL}}\)-stability for difference inclusions

DOI10.1007/s00498-007-0016-6zbMath1158.93025OpenAlexW2035612356MaRDI QIDQ998618

Christopher M. Kellett, Andrew R. Teel

Publication date: 9 February 2009

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-007-0016-6

zbMATH Keywords

robust stabilitydifference inclusionscompact attractorsstability with respect to two measures

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Robust stability (93D09)

Related Items

Summability characterizations of uniform exponential and asymptotic stability of sets for difference inclusions ⋮ Computation of Lyapunov functions for nonlinear discrete time systems by linear programming ⋮ Classical converse theorems in Lyapunov's second method

Cites Work

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• Smoothing Derivatives of Functions and Applications
• On the Robustness of $\mathcalKL$-stability for Difference Inclusions: Smooth Discrete-Time Lyapunov Functions
• A converse Lyapunov theorem for discrete-time systems with disturbances
• Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations
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