Analysis and design of switched normal systems

DOI10.1016/j.na.2006.01.034zbMath1119.34042OpenAlexW2006144895MaRDI QIDQ854131

Guisheng Zhai, Hai Lin, Xuping Xu, Anthony N. Michel

Publication date: 7 December 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.2006.01.034

zbMATH Keywords

stabilitycommon Lyapunov functionarbitrary switchingactivation time ratio between stable and unstable subsystems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Related Items (19)

Stability analysis of impulsive delayed switched systems and applications ⋮ A dwell time approach for the stabilization of mixed continuous/discrete switched systems ⋮ Singular value conditions for stability of dynamic switched systems ⋮ Stability analysis for a class of switched linear systems ⋮ New stability and stabilization for switched neutral control systems ⋮ Stability analysis for Markovian jump neutral systems with mixed delays and partially known transition rates ⋮ Uniform exponential stability of periodic discrete switched linear system ⋮ Disturbance decoupling via measurement feedback for switched linear systems ⋮ Controller design for networked control systems -- an approach based on \(L_2\) induced norm ⋮ Exponential stability of switched block triangular systems under arbitrary switching ⋮ Delay-dependent BIBO stability analysis of switched uncertain neutral systems ⋮ Stability analysis for a type of multiswitching system with parallel structure ⋮ Stability analysis of a class of switched linear systems on non-uniform time domains ⋮ Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays ⋮ The disturbance decoupling problem with stability for switching dynamical systems ⋮ Stability analysis of a class of switched nonlinear systems using the time scale theory ⋮ Extended Lie Algebraic Stability Analysis for Switched Systems with Continuous-Time and Discrete-Time Subsystems ⋮ Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability ⋮ Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions

Cites Work

• Unnamed Item
• Unnamed Item
• Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems
• Stability of switched systems: a Lie-algebraic condition
• Switching in systems and control
• Hybrid static output feedback stabilization of second-order linear time-invariant systems
• Controllability and reachability criteria for switched linear systems
• Analysis and synthesis of switched linear control systems
• Switched linear systems. Control and design.
• Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
• Adaptive stabilization of linear systems via switching control
• Applications of hysteresis switching in parameter adaptive control
• A common Lyapunov function for stable LTI systems with commuting A-matrices
• Improving transient response of adaptive control systems using multiple models and switching
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Quadratic stabilizability of switched linear systems with polytopic uncertainties
• Reachability and controllability of switched linear discrete-time systems
• Basic problems in stability and design of switched systems
• On convergence rates of simultaneously triangularizable switched linear systems
• Supervisory control of families of linear set-point controllers - Part I. Exact matching

This page was built for publication: Analysis and design of switched normal systems