A dwell time approach to the stability of switched linear systems based on the distance between eigenvector sets

DOI10.1080/00207720902974504zbMath1291.93285OpenAlexW2002571332MaRDI QIDQ5168738

Neslihan Serap Sengor, Özkan Karabacak

Publication date: 21 July 2014

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

Full work available at URL: https://doi.org/10.1080/00207720902974504

zbMATH Keywords

stabilityswitched systemsdwell timeeigenvector sets

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Applications of graph theory to circuits and networks (94C15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability of control systems (93D99)

Related Items (10)

A Simple Loop Dwell Time Approach for Stability of Switched Systems ⋮ Frequency-domain L 2-stability conditions for time-varying linear and nonlinear MIMO systems ⋮ Finite-time stability for switched linear systems by Jordan decomposition ⋮ Necessary and sufficient conditions for asymptotic model matching of switching linear systems ⋮ Graph-Based Dwell Time Computation Methods for Discrete-Time Switched Linear Systems ⋮ Stability of bimodal planar linear switched systems ⋮ Stabilizing graph-dependent linear switched systems with unstable subsystems ⋮ Dwell time and average dwell time methods based on the cycle ratio of the switching graph ⋮ Frequency-domainL₂-stability conditions for switched linear and nonlinear SISO systems ⋮ Reachability analysis of rational eigenvalue linear systems

Cites Work

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• Simultaneously normalizable matrices
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• Lie-Algebraic Stability Criteria for Switched Systems
• Stability analysis of switched systems under dynamical dwell time control approach
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• Matrix Analysis
• A common Lyapunov function for stable LTI systems with commuting A-matrices
• Stability theory for hybrid dynamical systems
• Stabilization of second-order LTI switched systems
• Basic problems in stability and design of switched systems
• Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
• Stabilizability and Insensitivity of Switched Linear Systems
• On convergence rates of simultaneously triangularizable switched linear systems
• Stability Criteria for Switched and Hybrid Systems
• Supervisory control of families of linear set-point controllers - Part I. Exact matching

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