Stability of switched systems: a Lie-alg
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Daniel Liberzon; JoΓ£o P. Hespanha; A.Stephen Morse
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Article
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1999
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Elsevier Science
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English
β 94 KB
We present a su cient condition for asymptotic stability of a switched linear system in terms of the Lie algebra generated by the individual matrices. Namely, if this Lie algebra is solvable, then the switched system is exponentially stable for arbitrary switching. In fact, we show that any family o