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Constrained controllability of nonlinear stochastic impulsive systems

Karthikeyan S., Balachandran K.

International Journal of Applied Mathematics and Computer Science

2011

Vol. 21, no 2

307-316

This paper is concerned with complete controllability of a class of nonlinear stochastic systems involving impulsive effects in a finite time interval by means of controls whose initial and final values can be assigned in advance. The result is achieved by using a fixed-point argument.

Controllability of nonlinear impulsive Ito type stochastic systems

Sakthivel R.

International Journal of Applied Mathematics and Computer Science

2009

Vol. 19, no 4

589-595

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.