On the asymptotic behaviour of bilinear markovian systems

1 August 1982

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 36 (2) , 267-279
https://doi.org/10.1080/00207178208932891

Abstract

In this paper the asymptotic behaviour of a class of bilinear systems is studied. The asymptotic set is defined, and is then characterized through a nested sequence of closed and attractive sets. It is shown to be the smallest closed and attractive set. Moreover, after introducing the notion of strong invariance, the asymptotic set is shown to coincide with the greatest strongly invariant set. These results hold, more generally, for any system whose state transition function is continuous, provided that its state space and input set are compact subsets of finite dimensional spaces.

Keywords

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