Commuting and stable feedback design for switched linear systems

DOI10.1016/j.na.2005.05.065zbMath1090.93029OpenAlexW2075262700MaRDI QIDQ2581710

Tianguang Chu, Guang-Ming Xie, Long Wang, Hai-Feng Yang

Publication date: 10 January 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.05.065

zbMATH Keywords

Switched linear systemsCommon admissible eigen-vector setCommuting and stable feedback design

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Sampled-data control/observation systems (93C57)

Related Items (6)

Stability of switched feedback time-varying dynamic systems based on the properties of the gap metric for operators ⋮ Finite‐time boundedness and control design of uncertain switched systems with time‐varying delay under new switching rules ⋮ The finite-time boundedness and control analysis of switched nonlinear time-varying delay systems based on auxiliary matrices ⋮ Stabilization of switched linear systems with bounded disturbances and unobservable switchings ⋮ Modal exact linearization of a class of second-order switched nonlinear systems ⋮ On the necessary and sufficient condition for a set of matrices to commute and some further linked results

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric state-space theory in linear multivariable control: A status report
• Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems
• Stability of switched systems: a Lie-algebraic condition
• Controllability and reachability criteria for switched linear systems
• Reachability realization and stabilizability of switched linear discrete-time systems.
• Robust stabilizing control laws for a class of second-order switched systems
• Controllability and stabilizability of switched linear-systems
• Matrix Analysis
• Semiclassical Dispersion Theory of Interband Magneto-Optical Effects
• A common Lyapunov function for stable LTI systems with commuting A-matrices
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• On reachability and stabilization of switched linear systems
• Stabilization of a class of switched systems via designing switching laws
• Reachability and controllability of switched linear discrete-time systems
• Basic problems in stability and design of switched systems
• Controllability and observability of hybrid systems
• Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
• Controllability of switched linear systems

This page was built for publication: Commuting and stable feedback design for switched linear systems