Stability of simultaneously block triangularisable switched systems with partial state reset

DOI10.1080/00207179.2016.1183174zbMath1359.93407OpenAlexW2344030102MaRDI QIDQ2978067

Paula Rocha, Ana Catarina Carapito, Isabel Brás

Publication date: 21 April 2017

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

Full work available at URL: https://hdl.handle.net/10216/110122

zbMATH Keywords

stabilityswitched systempartial resetsimultaneous block triangularization

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Adaptive or robust stabilization (93D21) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (3)

An approach to the stability of reset switched systems using dynamics without reset ⋮ Exponential stability for systems of delay differential equations with block matrices ⋮ Stabilization of switched linear singular systems with state reset

Cites Work

• Stabilization of linear impulsive systems through a nearly-periodic reset
• Common eigenvectors of two matrices
• On the existence of a common quadratic Lyapunov function for a rank one difference
• Stability of switched systems: a Lie-algebraic condition
• Switching between stabilizing controllers
• Fundamental properties of reset control systems
• On condensed forms for partially commuting matrices
• Asynchronous switching output feedback control of discrete-time switched linear systems
• Generalized Shemesh criterion, common invariant subspaces and irreducible completely positive superoperators
• Switching Stabilization for a Class of Slowly Switched Systems
• Hybrid Control for Switched Linear Systems With Average Dwell Time
• A common Lyapunov function for stable LTI systems with commuting A-matrices
• Basic problems in stability and design of switched systems
• Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• On quadratic lyapunov functions
• Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
• Stability of Switched Systems With Partial State Reset
• Stability Criteria for Switched and Hybrid Systems

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