H<inf>8</inf> Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information
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© 2018, Springer Science+Business Media, LLC, part of Springer Nature. This paper studies the problem of H8 filtering for a class of uncertain discrete-time periodic Markov jump systems with partly unknown and periodic transition probabilities, which is described as a polytope. By using Lyapunov function, periodic H8 filter is designed, which ensures that the periodic dynamic system is stochastically stable and satisfies a prescribed H8 performance index. A numerical example is presented to illustrate the effectiveness of the proposed theoretical results.
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