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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Dynamical and Control Systems Springer Journals

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

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Publisher
Springer US
Copyright
Copyright © 2016 by Springer Science+Business Media New York
Subject
Engineering; Vibration, Dynamical Systems, Control; Calculus of Variations and Optimal Control; Optimization; Analysis; Applications of Mathematics; Systems Theory, Control
ISSN
1079-2724
eISSN
1573-8698
D.O.I.
10.1007/s10883-016-9350-7
Publisher site
See Article on Publisher Site

Abstract

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

Journal of Dynamical and Control SystemsSpringer Journals

Published: Dec 19, 2016

References

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