Approximate Controllability of Fractional Semilinear Stochastic System of Order α∈ (1,2]

Approximate Controllability of Fractional Semilinear Stochastic System of Order α∈ (1,2] A family of dynamical control systems described by nonlinear fractional of order (1,2] stochastic differential equations in L p spaces is considered. We discussed the approximate controllability of stochastic semilinear fractional control system of order α∈(1,2] under the assumption that the corresponding linear system is approximately controllable. A new set of sufficient conditions for approximate controllability of system are obtained by the theory of strongly continuous α-order cosine family, fixed point theorem, and stochastic analysis techniques. At the end, an example is given to illustrate the theory. Journal of Dynamical and Control Systems Springer Journals

Approximate Controllability of Fractional Semilinear Stochastic System of Order α∈ (1,2]

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Springer US
Copyright © 2016 by Springer Science+Business Media New York
Engineering; Vibration, Dynamical Systems, Control; Calculus of Variations and Optimal Control; Optimization; Analysis; Applications of Mathematics; Systems Theory, Control
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