Approximate controllability of impulsive semilinear stochastic system with delay in state. Issue 6 (1st November 2016)

• Record Type: Journal Article
• Authors: Arora, Urvashi; Sukavanam, N.
• Is Part Of: Stochastic analysis and applications. Volume 34:Issue 6(2016)
• Page Start: 1111
• Page End: 1123
• Publication Date: 2016-11-01
• Subjects: Approximate controllability -- semilinear systems -- impulsive stochastic system -- state delay; 93B05 -- 93C10; Stochastic analysis -- Periodicals; 519.2205
• DOI: 10.1080/07362994.2016.1207547
• Languages: English
• ISSNs: 0736-2994

Abstract

ABSTRACT: Many practical systems in physical and biological sciences have impulsive dynamical behaviors during the evolution process that can be modeled by impulsive differential equations. This article studies the approximate controllability of impulsive semilinear stochastic system with delay in state in Hilbert spaces. Assuming the conditions for the approximate controllability of the corresponding deterministic linear system, we obtain the sufficient conditions for the approximate controllability of the impulsive semilinear stochastic system with delay in state. The results are obtained by using Banach fixed point theorem. Finally, two examples are given to illustrate the developed theory.