Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls

DOI10.1016/S0005-1098(02)00193-0zbMath1010.93091OpenAlexW2173273441MaRDI QIDQ1858359

Basílio E. A. Milani

Publication date: 13 February 2003

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(02)00193-0

zbMATH Keywords

linear programmingdiscrete-time systemsLyapunov functionsactuator saturationstability regionspiecewise-affine functions

Mathematics Subject Classification ID

Linear programming (90C05) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20)

Related Items (9)

Computation of Lyapunov functions for nonlinear discrete time systems by linear programming ⋮ A novel strategy of extending the domain of attraction of affine nonlinear systems ⋮ A new concept of invariance for saturated systems ⋮ The maximal contractively invariant ellipsoids for discrete-time linear systems under saturated linear feedback ⋮ Logical composition of Lyapunov functions ⋮ Enlarging the domain of attraction and maximising convergence rate for delta operator systems with actuator saturation ⋮ Discussion on: ``Improved MPC design based on saturating control laws ⋮ Convex invariant sets for discrete-time Lur'e systems ⋮ Constrained regulation of continuous Petri nets

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