The stochastic stability of Markovian jump systems with time-varying delays is investigated. Three delay-partitioning methods, i.e., partitioning [0, dmin], [dmin, dmax] and both, are considered to derive the delay-range-dependent stability criteria. Different Lyapunov-Krasovskii functionals are consequently constructed for the stochastic stability of the system. The effectiveness of those results are finally domonstrated by a numerical example.
['Pengfei Li', 'Yu Kang', 'Yun-Bo Zhao', 'Hongsheng Xi', 'Jun Wang']
Improved results on stability of Markovian jump systems with time-varying delays