Stability of Kalman filtering with Markovian packet losses
Automatica (Journal of IFAC)
SIAM Journal on Control and Optimization
Brief The H2-control for jump linear systems: cluster observations of the Markov state
Automatica (Journal of IFAC)
A binary channel characterization using partitioned Markov chains
IEEE Transactions on Information Theory
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This paper addresses how several models available for a measurement transmission network channel, like the generalized Gilbert-Elliot, Fritchman or McCullough ones, from a linear and time invariant plant to its filter can be incorporated into the more general framework of Markov jump linear systems filtering. Combined with transmission protocols that allow package failure recognition, the particular concept of cluster availability of the Markov modes becomes appealing. Numerical examples are explored to show applicability of the results. The design of the filter is done using linear matrix inequalities (LMIs).