Piecewise-linear constrained control for continuous-time systems: an homothetic expansion method of the initial domain

DOI10.1007/s10450-006-0384-0zbMath1111.93060OpenAlexW2136720943MaRDI QIDQ867459

A. Baddou, S. El Faiz, Abdellah Benzaouia

Publication date: 15 February 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10450-006-0384-0

zbMATH Keywords

positive invarianceconstrained controlcontinuous-time linear systemmaximal domainpiecewise-linear control

Mathematics Subject Classification ID

Controllability (93B05) Feedback control (93B52) Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Existence of nonsymmetrical stability domains for linear systems
• Reachable, controllable sets and stabilizing control of constrained linear systems
• Regulator problem for linear discrete-time systems with non-symmetrical constrained control
• Regulator problem for linear continuous-time systems with nonsymmetrical constrained control
• The resolution of equation XA+XBX=HX and the pole assignment problem
• Piecewise linear constrained control for continuous-time systems
• An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states
• Constrained stabilization with an assigned initial condition set

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