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Mean square Mittag-Leffler stability of fractional order stochastic system with time delay. (English) Zbl 1446.93076
This paper under review focus on the mean square Mittag-Leffler stability for a class of fractional order stochastic system with time delay. First, the definitions of mean square Mittag-Leffler stability of fractional order stochastic system is given. The main result is the existence and the mean square Mittag-Leffler stability for the fractional order stochastic system. The main tools include fractional calculus, the methods of Lyapunov function, the Laplace transform technique and stochastic analysis theory.
Reviewer: Jing Cui (Wuhu)
MSC:
93E15 Stochastic stability in control theory
26A33 Fractional derivatives and integrals
93C43 Delay control/observation systems
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