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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2013

Global Stability and Finite L 2 m -Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions

Résumé

In this technical note, we provide sufficient conditions for global asymptotic stability and global L 2 m gain estimation of linear systems subject to saturations and/or deadzones with structured parametric uncertainties, based on piecewise polynomial Lyapunov functions. By using sum-of-squares relaxations, these conditions are formulated in terms of linear matrix inequalities. Example studies are used to comparatively illustrate the proposed techniques.

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Automatique
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Dates et versions

hal-03685132 , version 1 (01-06-2022)

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Citer

A. Garulli, A. Masi, Giorgio Valmorbida, Luca Zaccarian. Global Stability and Finite L 2 m -Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions. IEEE Transactions on Automatic Control, 2013, 58 (1), pp.242-246. ⟨10.1109/TAC.2012.2205449⟩. ⟨hal-03685132⟩
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