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The controllability of fractional damped stochastic integrodifferential systems. (English) Zbl 1370.93054

Summary: In this paper, the complete controllability is investigated for nonlinear fractional damped stochastic integrodifferential system in finite dimensional space. Using linear controllability theory, sufficient conditions ensuring complete controllability are derived based on controllability Gramian matrix which is defined by Mittag-Leffler matrix function and fixed-point techniques. Finally, two numerical examples are given to verify the proposed conditions.

MSC:

93B05 Controllability
93E03 Stochastic systems in control theory (general)
45K05 Integro-partial differential equations
34A08 Fractional ordinary differential equations
47H10 Fixed-point theorems
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