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Stability analysis of LPV systems: Scenario approach

Stability analysis of LPV systems: scenario approach
Authors: Sala, Antonio;

Stability analysis of LPV systems: Scenario approach

Abstract

[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.

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Keywords

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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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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