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On existence of maximal solution for infinite dimensional perturbed algebraic Riccati equations associated to Markov jump linear systems

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2 Author(s)
Baczynski, J. ; Nat. Lab. for Sci. Comput., LNCC/CNPq, Rio de Janeiro, Brazil ; Pragoso, M.D.

Under the structural assumption of stochastic stability, we prove the existence of maximal solution for a certain perturbed algebraic Riccati equation in infinite dimensional Banach space. The positive perturbation operator is as it appears in control problems involving Markov jump linear systems with infinite countable state space.

Published in:

American Control Conference, 2004. Proceedings of the 2004  (Volume:3 )

Date of Conference:

June 30 2004-July 2 2004