Relaxing PWQ Lyapunov stability criteria for PWA systems

DOI10.1016/j.automatica.2012.10.013zbMath1258.93082OpenAlexW2168150138MaRDI QIDQ1940301

Sorin Olaru, Morten Hovd

Publication date: 6 March 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.10.013

zbMATH Keywords

linear matrix inequalitiesLyapunov stabilitylinear matrix inequality relaxationspiecewise linear/affine dynamics

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05)

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Lyapunov stability for piecewise affine systems via cone-copositivity ⋮ TS fuzzy robust \(\mathrm L_1\) control for nonlinear systems with persistent bounded disturbances ⋮ Stability analysis of a class of uncertain switched time‐delay systems with sliding modes ⋮ Incremental \(\mathcal{L}_2\)-gain stability of piecewise-affine systems with piecewise-polynomial storage functions ⋮ A Lyapunov method for stability analysis of piecewise-affine systems over non-invariant domains ⋮ An implicit representation for the analysis of piecewise affine discrete-time systems ⋮ Event-triggered control for discrete-time piecewise affine systems ⋮ More Relaxed Non‐Quadratic Stabilization Conditions Using Ts Open Loop System and Control Law Properties

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