On the dynamic instability of a class of switching system

DOI10.1080/00207170600555827zbMath1330.93178OpenAlexW2103843700MaRDI QIDQ5491410

Paul F. Curran, Fiacre Ó Cairbre, Robert N. Shorten

Publication date: 11 October 2006

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

Full work available at URL: http://eprints.maynoothuniversity.ie/10096/1/FO-Dynamic-2000.pdf

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Robust stability (93D09) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Related Items (3)

Stability criteria of a class of nonlinear impulsive switching systems with time-varying delays ⋮ An Irreducible Linear Switching System Whose Unique Barabanov Norm Is Not Strictly Convex ⋮ Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems

Cites Work

• Stability of periodically switched linear systems and the switching frequency
• Describing functions revisited
• Dynamical systems which undergo switching
• Survey of gain-scheduling analysis and design
• 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

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