Positively invariant sets of discrete-time systems with constrained inputs

DOI10.1080/00207729008910448zbMath0715.93018OpenAlexW2007823335MaRDI QIDQ3202906

Abdellah Benzaouia, Christian Burgat, Sophie Tarbouriech

Publication date: 1990

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729008910448

zbMATH Keywords

positively invariantglobal attractivity conditionssaturated state feedback regulator

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Algebraic methods (93B25)

Related Items (5)

Positively invariant sets for continuous-time systems with the cone-preserving property ⋮ Continuous-time saturated state feedback regulators: theory and design ⋮ Linear cone-invariant control systems and their equivalence ⋮ Positive invariance, monotonicity and comparison of nonlinear systems ⋮ Positively invariant sets for singular discrete-time systems

Cites Work

• Unnamed Item
• A note on positively invariant cones
• On the null-controllability of linear discrete-time systems with restrained controls
• Polyhedral cones associated to M-matrices and stability of time varying discrete time systems
• Stability properties of positively invariant linear discrete time systems
• A new design of constrained controllers for linear systems
• The convex controller: controllability in finite time
• Constrained controllability of discrete-time systems†
• Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states
• Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints
• Regulator problem for linear discrete-time systems with non-symmetrical constrained control
• Controllability of discrete-time systems with positive controls
• Invariance for ordinary differential equations
• Spectral Properties of Matrices which have Invariant Cones
• Linear Transformations with Invariant Cones
• Convex Analysis
• Cross-Positive Matrices

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