This paper aims to study stability in distribution of Markovian switching jump diffusions. The main motivation stems from and stabilizing hybrid systems which there is no trivial solution. An explicit criterion for derived. effects Markov chains, Brownian motions, Poisson jumps are revealed. Based on these criteria, stabilization problems stochastic differential equations with developed.

This paper studies the mean square exponential synchronization control of Markovian jump chaotic Lur'e systems (MJCLSs) with multiple time delays under aperiodic sampling. Firstly, by introducing mode-dependent single/double integral terms and considering system state at sampling instant, a new Lyapunov functional based on looped-functional is constructed. On basis constructed estimating expect...

This paper considers the problems of stability, stabilization and H∞ control via memoryless state feedback for uncertain discrete-time Markovian jump linear systems with mode-dependent time delays. Based on linear matrix inequalities, delay-dependent solutions are obtained by using a descriptor model transformation of the system and by applying a new bounding technique for cross terms. Numerica...