Publications of O.M. Grasselli

This page shows all publications that appeared in the IASI annual research reports. Authors currently affiliated with the Institute are always listed with the full name.

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IASI Research Report n. 15  


Grasselli O.M.

On the asymptotic behaviour of bilinear markovian systems.

ABSTRACT
In this paper the asymptotic behaviour of a class of bilinear systems is studied. The asymptotic set defined, and is then characterized through a nested sequence of closed and attractive set. 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.
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