Stability analysis of piecewise-affine systems using controlled invariant sets

DOI10.1016/j.sysconle.2004.04.001zbMath1157.93443OpenAlexW1978929829MaRDI QIDQ2503653

Luis Henrique Rodrigues

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2004.04.001

zbMATH Keywords

Lyapunov functionPiecewise-affine systemsInvariant setsEllipsoidsTangent cone

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) Discrete event control/observation systems (93C65)

Related Items (9)

An obstruction to solvability of the reach control problem using affine feedback ⋮ A duality-based convex optimization approach to \(L_2\)-gain control of piecewise affine slab differential inclusions ⋮ Equilibria of continuous-time recurrent fuzzy systems ⋮ PWL and PWA ℋ _∞ controller synthesis for uncertain PWA slab systems: LMI approach ⋮ Open-loop Nash equilibrium in polynomial differential games via state-dependent Riccati equation ⋮ Non-compact positively invariant sets and their application to the control of speed constrained mechanical systems with saturated actuators ⋮ Stability analysis for a class of digital filters with single saturation nonlinearity ⋮ Periodic solutions versus practical switching control for sensorless piecewise affine systems (PWA) ⋮ Asymptotic stability of sampled-data piecewise affine slab systems

Cites Work

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• Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states
• Linear Matrix Inequalities in System and Control Theory
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• Observer-based control of piecewise-affine systems
• Strong $n$-generators and the rank of some Noetherian one-dimensional integral domains
• Impulse differential inclusions: a viability approach to hybrid systems

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