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— Under the structural assumption of stochastic stability, we prove 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.
— Uniform convergence of standard transition matrices is a concept which appears in some fundamental results in Markov chain theory and therefore in optimal control, H∞ control and stability problems of continuous-time Markov Jump Linear Systems (MJLSs) with infinite countable state space of the Markov chain. We identify some classes of standard transition(More)