S-Controllability of an Abstract First Order Semilinear Control System

Abstract
The objective of this article is to investigate some sufficient conditions, for S-controllability of an abstract first order semilinear control system of the form Here, A is the closed linear operator, B and C are bounded linear operators defined on suitable Hilbert spaces, ω and ν are suitable wiener processes, and d is the stochastic differentiation. The results are obtained by the separation principle approach. An example is provided to illustrate the technique.

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