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Controllability for Time-dependent Neutral Stochastic Functional Differential Equations with Rosenblatt Process and Impulses

El Hassan Lakhel and M. A. McKibben*
International Journal of Control, Automation, and Systems, vol. 17, no. 2, pp.286-297, 2019

Abstract : "In this paper we consider the controllability of certain class of non-autonomous impulsive neutral evolution stochastic functional differential equations, with time varying delays, driven by a Rosenblatt process, in a Hilbert space. Sufficient conditions for controllability are obtained by employing a fixed point approach. A practical example is provided to illustrate the viability of the abstract result of this work."

Keyword : Controllability, evolution operator, neutral stochastic differential equations, Rosenblatt process.

 
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