Controllability for nonlinear fractional damped stochastic integrodifferential system

What is it about?

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

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Why is it important?

Fractional-order systems are useful in studying the anomalous behavior of dynamical systems in electrochemistry, viscoelasticity, chaotic systems and biology

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