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Approximate controllability of second-order stochastic differential equations with impulsive effects
journal contributionposted on 2023-05-17, 04:05 authored by Sakthivel, R, Ren, Yong, Mahmurdov, NI
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. Â© 2010 World Scientific Publishing Company.
Publication titleModern Physics Letters B
Department/SchoolSchool of Natural Sciences
PublisherWorld Scientific Publ Co Pte Ltd
Place of publicationJournal Dept Po Box 128 Farrer Road, Singapore, Singapore, 912805