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Non-fragile sampled data \(H_\infty\) filtering of general continuous Markov jump linear. (English) Zbl 1309.93175
Summary: This paper is concerned with the non-fragile sampled data \(H_\infty\) filtering problem for continuous Markov jump linear system with partly known transition probabilities (TPs). The filter gain is assumed to have additive variations and TPs are assumed to be known, uncertain with known bounds and completely unknown. The aim is to design a non-fragile \(H_\infty\) filter to ensure both the robust stochastic stability and a prescribed level of \(H_\infty\) performance for the filtering error dynamics. Sufficient conditions for the existence of such a filter are established in terms of linear matrix inequalities (LMIs). An example is provided to demonstrate the effectiveness of the proposed approach.

93E12 Identification in stochastic control theory
93E11 Filtering in stochastic control theory
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