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Approximate controllability of second-order stochastic differential equations with impulsive effects


Sakthivel, R and Ren, Yong and Mahmurdov, NI, Approximate controllability of second-order stochastic differential equations with impulsive effects, Modern Physics Letters B, 24, (14) pp. 1559-1572. ISSN 0217-9849 (2010) [Refereed Article]

DOI: doi:10.1142/S0217984910023359


Many practical systems in physical and biological sciences have impulsive dynamical behaviors during the evolution process which can be modeled by impulsive differential equations. In this paper, the approximate controllability of nonlinear second-order stochastic infinite-dimensional dynamical systems with impulsive effects is considered. By using the Holder's inequality, stochastic analysis and fixed point strategy, a new set of necessary and sufficient conditions are formulated which guarantees the approximate controllability of the nonlinear second-order stochastic system. The results are obtained under the assumption that the associated linear system is approximately controllable. © 2010 World Scientific Publishing Company.

Item Details

Item Type:Refereed Article
Keywords:approximate controllability, stochastic systems, impulsive effects, fixed point principle
Research Division:Mathematical Sciences
Research Group:Statistics
Research Field:Stochastic analysis and modelling
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Ren, Yong (Dr Yong Ren)
ID Code:66039
Year Published:2010
Web of Science® Times Cited:53
Deposited By:Mathematics
Deposited On:2010-12-16
Last Modified:2016-06-03

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