Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
722769 | IFAC Proceedings Volumes | 2007 | 6 Pages |
Abstract
In this paper we study the almost sure stability of continuous-time jump linear systems with a finite-state Markov form process. A new sufficient condition is derived based on an extended Lyapunov-Metzler inequality. This condition is proven to be less conservative with respect to the existing sufficient conditions. The inequalities generalize those associated with mean square stability and establish a clear link between the two notions. The problem of almost sure stabilizability and detectability is finally discussed.
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