\((A,B)\)-invariance conditions of polyhedral domains for continuous-time systems

DOI10.1016/S0947-3580(99)70141-XzbMath0943.93018OpenAlexW2048460830MaRDI QIDQ1306045

Jean Claude Hennet, Carlos Eduardo T. Dórea

Publication date: 10 September 2000

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0947-3580(99)70141-x

zbMATH Keywords

convex setpositive invariancegeometric theorypolyhedral domains\((A,B)\)-invariance

Mathematics Subject Classification ID

Geometric methods (93B27) Linear systems in control theory (93C05)

Related Items (6)

Inventory control of a class of logistic networks ⋮ Control by Set Invariance of a Class of Convolution Systems ⋮ On the construction of safe controllable regions for affine systems with applications to robotics ⋮ \((A,B)\)-invariant polyhedral sets of linear discrete-time systems ⋮ \((A,B)\)-invariance conditions of polyhedral domains for continuous-time systems ⋮ Steplength thresholds for invariance preserving of discretization methods of dynamical systems on a polyhedron

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constrained stabilization of continuous-time linear systems
• Positively invariant closed sets for systems of delay-differential equations
• Constrained regulation of linear continuous-time dynamical systems
• \((A,B)\)-invariance conditions of polyhedral domains for continuous-time systems
• Nonquadratic Lyapunov functions for robust control
• On invariant polyhedra of continuous-time systems subject to additive disturbances
• 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
• On invariant polyhedra of continuous-time linear systems
• Positively invariant sets for constrained continuous-time systems with cone properties
• Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions
• An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states
• Persistent disturbance rejection via static-state feedback
• Optimization of the l/sup ∞/-induced norm under full state feedback

This page was built for publication: \((A,B)\)-invariance conditions of polyhedral domains for continuous-time systems