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Paper details
Number 4 - December 2009
Volume 19 - 2009
Controllability of nonlinear impulsive Ito type stochastic systems
Rathinasamy Sakthivel
Abstract
In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic
integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.
Keywords
complete controllability, resolvent matrix, impulsive Ito type stochastic equations, Brownian motion