Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Approximate controllability of semilinear partial functional differential systems
Journal of Dynamical and Control Systems
Stochastic Controllability of Linear Systems With State Delays
International Journal of Applied Mathematics and Computer Science
Stochastic Controllability of Systems with Multiple Delays in Control
International Journal of Applied Mathematics and Computer Science
Computers & Mathematics with Applications
On the approximate controllability of semilinear fractional differential systems
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Hi-index | 0.09 |
A class of dynamic control systems described by nonlinear fractional stochastic differential equations in Hilbert spaces is considered. Using fixed point technique, fractional calculations, stochastic analysis technique and methods adopted directly from deterministic control problems, a new set of sufficient conditions for approximate controllability of fractional stochastic differential equations is formulated and proved. In particular, we discuss the approximate controllability of nonlinear fractional stochastic control system under the assumptions that the corresponding linear system is approximately controllable. The results in this paper are generalization and continuation of the recent results on this issue. An example is provided to show the application of our result. Finally as a remark, the compactness of semigroup is not assumed and subsequently the conditions are obtained for exact controllability result.