Approximate and trajectory controllability of fractional stochastic differential equation with non‐instantaneous impulses and Poisson jumps. Issue 6 (3rd August 2020)

• Record Type: Journal Article
• Authors: Dhayal, Rajesh; Malik, Muslim; Abbas, Syed
• Is Part Of: Asian journal of control. Volume 23:Issue 6(2021)
• Page Start: 2669
• Page End: 2680
• Publication Date: 2020-08-03
• Subjects: controllability -- fractional Brownian motion -- fractional stochastic differential equation -- non‐instantaneous impulses -- Poisson jumps; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2389
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: The problem of approximate controllability is investigated in this paper for a class of fractional stochastic differential equations driven by fractional Brownian motion with non‐instantaneous impulses and Poisson jumps. The results are obtained by employing the η ‐resolvent family and Krasnoselskii's fixed point theorem. Further, we derive the trajectory controllability for the proposed stochastic control system. Finally, an example is provided to illustrate the obtained theory.