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

  • El Hassan Lakhel
  • M. A. McKibbenEmail author
Regular Papers Control Theory and Applications
  • 4 Downloads

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.

Keywords

Controllability evolution operator neutral stochastic differential equations Rosenblatt process 

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© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Cadi Ayyad UniversityNational School of Applied SciencesSafiMorocco
  2. 2.Department of MathematicsWest Chester University of PennsylvaniaWest ChesterUSA

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