Discrete-time switching linear system with constraints: characterization and computation of invariant sets under dwell-time consideration

DOI10.1016/j.automatica.2012.02.045zbMath1246.93073OpenAlexW2126416928MaRDI QIDQ445919

J. Herrera, D. Rodríguez-Gómez

Publication date: 27 August 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.02.045

zbMATH Keywords

stabilityswitching systemsset invarianceconstrained systemsminimal dwell-time

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (15)

Reliability and time‐to‐failure bounds for discrete‐time constrained Markov jump linear systems ⋮ Computation of the maximal invariant set of discrete-time linear systems subject to a class of non-convex constraints ⋮ Constraint admissible state sets for switched systems with average dwell time ⋮ Switched systems with average dwell time: computation of the robust positive invariant set ⋮ Controllability Analysis and Control Design for Switched Boolean Networks with State and Input Constraints ⋮ Invariant convex approximations of the minimal robust invariant set for linear difference inclusions ⋮ Characterization and computation of disturbance invariant sets for constrained switched linear systems with dwell time restriction ⋮ Combinatorial methods for invariance and safety of hybrid systems ⋮ Passivity and H_∞ control of switched discrete-time nonlinear systems using linearisation ⋮ Computations of mode-dependent dwell times for discrete-time switching system ⋮ Stability analysis of discrete-time switched systems: a switched homogeneous Lyapunov function method ⋮ Reliable controllable sets for constrained Markov-Jump Linear Systems ⋮ Geometrical Dissipativity-Based Output Synchronization of Discrete Dynamical Networks with Non-Identical Nodes ⋮ Constrained optimal control of switched systems and its application ⋮ Switched model predictive control of switched linear systems: feasibility, stability and robustness

Cites Work

• Unnamed Item
• Modal and transition dwell time computation in switching systems: a set-theoretic approach
• Theory and computation of disturbance invariant sets for discrete-time linear systems
• Criteria of asymptotic stability of differential and difference inclusions encountered in control theory
• Stability results for linear parameter varying and switching systems
• Stability and Stabilization of Continuous‐Time Switched Linear Systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Basic problems in stability and design of switched systems
• Stabilization of Switched Systems via Composite Quadratic Functions
• Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach

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