On common quadratic Lyapunov functions for stable discrete-time LTI systems
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Publication:4670845
DOI10.1093/imamat/69.3.271zbMath1067.93057OpenAlexW2083645139MaRDI QIDQ4670845
Oliver Mason, Robert N. Shorten
Publication date: 22 April 2005
Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://eprints.maynoothuniversity.ie/6234/1/OM-Common-Quadratic.pdf
stabilityCayley transformcommon quadratic Lyapunov functionsingular eigenvaluesingular matrix pencilsswitched discrete system
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Frequency-domain stability conditions for discrete-time switched systems ⋮ Lower bounds on complexity of Lyapunov functions for switched linear systems ⋮ On the existence of a common quadratic Lyapunov function for a rank one difference ⋮ H∞ control of discrete-time linear systems constrained in state by equality constraints ⋮ Asymptotic stability and stabilizability of special classes of discrete-time positive switched systems ⋮ On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems ⋮ Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability ⋮ Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems
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