Stabilization of Stochastic Diffusive Dynamical Systems with Impulse Markov Switchings and Parameters. Part I. Stability of Impulse Stochastic Systems with Markov Parameters

Abstract

Global asymptotic stochastic stability, global asymptotic p-stability were investigated. We consider stability under constantly acting perturbations. Optimal control for stochastic diffusive dynamical systems of random structure with external Markov switchings was constructed.