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

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

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...

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Veröffentlicht in:International journal of control, automation, and systems 2019, Automation, and Systems, 17(2), , pp.286-297
Hauptverfasser: Lakhel, El Hassan, McKibben, M. A.
Format: Artikel
Sprache:eng
Schlagworte:
Control
Controllability
Differential equations
Engineering
Hilbert space
Mathematical analysis
Mechatronics
Regular Papers
Robotics
Time dependence
제어계측공학
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Zusammenfassung: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.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-016-0363-5