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H control for continuous-time linear systems with infinite Markov jump parameters via semigroup

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3 Author(s)
Fragoso, M.D. ; LNC/CCNPq, Rio de Janeiro, Brazil ; Nascimento, E.C.S. ; Baczynski, J.

We examine the H control problem for a class of continuous time linear systems subject to Markovian jumps in the parameters (LSMJP). We extend the results in De Souza and Fragoso (1993) in two directions: we give necessary and sufficient conditions for the existence of a feedback controller which stochastically stabilizes the LSMJP and ensures that a certain L2 induced norm be less than a prespecified value. In addition, we consider the case in which the state-space of the Markov chain takes value in a countably infinity set. The solution here is given in terms of a countably infinite set of coupled algebraic Riccati equations

Published in:

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on  (Volume:2 )

Date of Conference:

2000