On the asymptotic behaviour of bilinear markovian systems

作者: O. M. GRASSELLI

DOI: 10.1080/00207178208932891

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

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