Discontinuous piecewise quadratic Lyapunov functions for planar piecewise affine systems

DOI10.1016/j.jmaa.2012.09.054zbMath1254.93126OpenAlexW2008062629MaRDI QIDQ1933625

Ali Karimpour, Najmeh Eghbal, Naser Pariz

Publication date: 24 January 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.054

zbMATH Keywords

stability analysispiecewise affine systemsdiscontinuous Lyapunov functions

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (7)

Robust H-infinity stabilization and resilient filtering for discrete-time constrained singular piecewise-affine systems ⋮ Lyapunov stability for piecewise affine systems via cone-copositivity ⋮ Further results on sampled-data synchronization for complex dynamical networks with time-varying coupling delay ⋮ Revised CPA method to compute Lyapunov functions for nonlinear systems ⋮ A Lyapunov method for stability analysis of piecewise-affine systems over non-invariant domains ⋮ Exponential stability and hybrid \(L_2^h\)-gain analysis of hybrid systems via max functions ⋮ Review on computational methods for Lyapunov functions

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