Stabilizing discrete-time switched linear systems

DOI10.1145/2562059.2562114zbMath1364.93682arXiv1310.3595OpenAlexW2950797093MaRDI QIDQ2986944

Atreyee Kundu, Debasish Chatterjee

Publication date: 16 May 2017

Published in: Proceedings of the 17th international conference on Hybrid systems: computation and control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3595

zbMATH Keywords

asymptotic stabilitydirected graphsmultiple Lyapunov-like functionsdiscrete-time switched linear system

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) 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 (8)

On stability of discrete-time switched systems ⋮ A graph theoretic approach to input-to-state stability of switched systems ⋮ On analysis and design of discrete-time constrained switched systems ⋮ Stabilizing switching signals: a transition from point-wise to asymptotic conditions ⋮ ℋ₂ and ℋ_∞ analysis and state feedback control design for discrete-time constrained switched linear systems ⋮ A new condition for stability of switched linear systems under restricted minimum dwell time switching ⋮ Robust matrix commutator conditions for stability of switched linear systems under restricted switching ⋮ Randomized algorithms for stabilizing switching signals

Uses Software

• CPLEX
• YALMIP
• MPT

Cites Work

• Minkowski terminal cost functions for MPC
• A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability
• Constrained model predictive control: Stability and optimality
• On infinity norms as Lyapunov functions for piecewise affine systems
• Linear systems with state and control constraints: the theory and application of maximal output admissible sets
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• Lyapunov Functions, Stability and Input-to-State Stability Subtleties for Discrete-Time Discontinuous Systems
• Stability analysis of piecewise discrete-time linear systems
• Convex Analysis
• Set-theoretic methods in control

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