A lower bound for the stability radius of time-varying systems

Sasu, Adina; Sasu, Bogdan

doi:10.1090/S0002-9939-04-07513-6

A lower bound for the stability radius of time-varying systems
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Proc. Amer. Math. Soc. 132 (2004), 3653-3659 Request permission

Abstract:

We introduce and characterize the stability radius of systems whose state evolution is described by linear skew-product semiflows. We obtain a lower bound for the stability radius in terms of the Perron operators associated to the linear skew-product semiflow. We generalize a result due to Hinrichsen and Pritchard.

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