Necessary condition for quantitative exponential stability of linear state space systems

Research output: Contribution to journalConference articlepeer-review

Abstract

An easy-to-check necessary condition for exponential stability, with a prescribed convergence rate, for linear state space systems, is introduced. The case where this condition is sufficient as well, is characterized. As a by-product, this result suggests that, the notion of `slowly varying state-space systems', commonly used in literature, is mathematically not natural to the problem of exponential stability.

Original languageEnglish
Pages (from-to)624-625
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - 1 Dec 1998
EventProceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA
Duration: 16 Dec 199818 Dec 1998

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