A numerical technique for the stability analysis of linear switched systems

DOI10.1080/002071704200026963zbMath1069.93034OpenAlexW2002173121MaRDI QIDQ4651197

Christos Yfoulis, Robert N. Shorten

Publication date: 21 February 2005

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

Full work available at URL: https://doi.org/10.1080/002071704200026963

zbMATH Keywords

stability analysislinear time-varying systemslinear switched systemslinear differential inclusionspolyhedral Lyapunov functionray-gridding approach

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Variable structure systems (93B12) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (11)

Stability analysis of switched systems using variational principles: An introduction ⋮ Stability and performance analysis of hybrid integrator-gain systems: a linear matrix inequality approach ⋮ Polytope Lyapunov functions for stable and for stabilizable LSS ⋮ Absolute stability of third-order systems: a numerical algorithm ⋮ Nonlinear control design for linear differential inclusions via convex hull of quadratics ⋮ Necessary and sufficient stability condition for second-order switched systems: a phase function approach ⋮ Robust switching signal estimation for a class of uncertain nonlinear switched systems ⋮ Non-conservative matrix inequality conditions for stability/stabilizability of linear differential inclusions ⋮ Asymptotic disturbance attenuation properties for uncertain switched linear systems ⋮ Sliding modes and Lyapunov functions for differential inclusions by linear programming ⋮ Review on computational methods for Lyapunov functions

Cites Work

• Unnamed Item
• Set invariance in control
• Criteria of asymptotic stability of differential and difference inclusions encountered in control theory
• Nonquadratic Lyapunov functions for robust control
• On absolute stability analysis by polyhedral Lyapunov functions
• Destabilizing strategies for uncertain linear systems
• Stability of dynamical systems: A constructive approach
• Computer generated Lyapunov functions for interconnected systems: Improved results with applications to power systems
• Constructive stability and asymptotic stability of dynamical systems
• Vector norms as Lyapunov functions for linear systems
• Solving nonlinear resistive networks using piecewise-linear analysis and simplicial subdivision
• Computer generated Lyapunov functions for a class of nonlinear systems
• Lectures on Polytopes
• Lyapunov function construction by linear programming
• A parametrization of piecewise linear Lyapunov functions via linear programming
• Dynamical systems which undergo switching
• A new approach for estimating controllable and recoverable regions for systems with state and control constraints
• Canonical piecewise-linear analysis
• On the 45° -Region and the uniform asymptotic stability of classes of second order parameter-varying and switched systems
• Design of stabilizing switching control laws for discrete- and continuous-time linear systems using piecewise-linear Lyapunov functions
• On infinity norms as Lyapunov functions for linear systems
• Necessary and sufficient conditions for absolute stability: the case of second-order systems
• Simplicial rtd-based cellular nonlinear networks
• A survey of computational complexity results in systems and control

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