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Volume 3 Issue 4
Oct.  2016

IEEE/CAA Journal of Automatica Sinica

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Sathiyaraj T. and Balasubramaniam P., "Controllability of Fractional Order Stochastic Differential Inclusions with Fractional Brownian Motion in Finite Dimensional Space," IEEE/CAA J. Autom. Sinica, vol. 3, no. 4, pp. 400-410, Oct. 2016.
Citation: Sathiyaraj T. and Balasubramaniam P., "Controllability of Fractional Order Stochastic Differential Inclusions with Fractional Brownian Motion in Finite Dimensional Space," IEEE/CAA J. Autom. Sinica, vol. 3, no. 4, pp. 400-410, Oct. 2016.

Controllability of Fractional Order Stochastic Differential Inclusions with Fractional Brownian Motion in Finite Dimensional Space


Council of Scientific and Industrial Research, Extramural Research Division, Pusa, New Delhi, India 25/(0217)/13/EMR-II

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  • In this paper, sufficient conditions are formulated for controllability of fractional order stochastic differential inclusions with fractional Brownian motion (fBm) via fixed point theorems, namely the Bohnenblust-Karlin fixed point theorem for the convex case and the Covitz-Nadler fixed point theorem for the nonconvex case. The controllability Grammian matrix is defined by using Mittag-Leffler matrix function. Finally, a numerical example is presented to illustrate the efficiency of the obtained theoretical results.


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