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[EN] This paper discusses a `scenario¿ approach to prove decay-rate stability of discrete-time polytopic linear parameter-varying systems, dealing with sets of sequences of vertex models of different length. When all sequences have the same length, parameter-trajectory dependent results in earlier literature are obtained as particular cases. The approach in this paper discusses `classical¿ stability, without the need of probabilistic ingredients present in other scenario-based ideas in literature. A numerical example shows that the proposal achieves a sensible tradeoff between proven performance and computing requirements.
The author is grateful to Ministerio de Economia (Spain) and European Union, grant DPI2016-81002-R The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Tingshu Hu under the direction of Editor Andre L. Tits.
Parameter-dependent Lyapunov function, linear parameter-varying systems, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, INGENIERIA DE SISTEMAS Y AUTOMATICA, parameter-dependent Lyapunov functions, Linear parameter-varying systems, Discrete-time control/observation systems, Linear systems in control theory, Lyapunov and storage functions, discrete-time systems, Discrete-time systems, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
Parameter-dependent Lyapunov function, linear parameter-varying systems, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, INGENIERIA DE SISTEMAS Y AUTOMATICA, parameter-dependent Lyapunov functions, Linear parameter-varying systems, Discrete-time control/observation systems, Linear systems in control theory, Lyapunov and storage functions, discrete-time systems, Discrete-time systems, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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