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The goal of this paper is to present new results for H∞ filtering for continuous-time Markov jump linear systems with partial information on the jumping parameter. The central hypothesis considered here is the existence of a suitable detector which provides measurements of the Markov chain. This detector-based approach allows us to treat the case with complete observations, no information and cluster...
In this paper we present a Bounded Real Lemma for continuous-time Markov jump linear systems with partial observations of the Markov chain. The main result provides a fundamental tool for the development of an H∞ control theory devoted to this class of systems, and consists of a necessary and sufficient condition for a given stochastic system to be mean square stable and satisfy a prescribed degree...
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