Tensor conditions for the existence of a common solution to the Lyapunov equation

DOI10.1016/j.laa.2006.09.005zbMath1162.15007OpenAlexW2089801012MaRDI QIDQ861033

Helena Šmigoc, Thomas J. Laffey

Publication date: 9 January 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.09.005

zbMATH Keywords

stabilityLyapunov equationswitched linear systemscommon quadratic Lyapunov function

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (7)

A Hill-Pick matrix criterion for the Lyapunov order ⋮ SPR based design conditions for quadratic stability of multi-mode switched linear systems ⋮ On a conjecture about the norm of Lyapunov mappings ⋮ Sufficient conditions for Schur and Hurwitz diagonal stability of complex interval matrices ⋮ Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching ⋮ Stabilization of switched systems via optimal control ⋮ Common Lyapunov solutions for two matrices whose difference has rank one

Cites Work

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• Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems
• An iterative method of Lyapunov function construction for differential inclusions
• A new methodology for the stability analysis of pairwise triangularizable and related switching systems
• 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
• A result on common quadratic Lyapunov functions

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