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2 International Journal of Applied Mathematics and Computer Science

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Constrained controllability of nonlinear stochastic impulsive systems

100%

Karthikeyan S. , Balachandran K.

tom 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.

On the controllability of fractional dynamical systems

100%

Balachandran K. , Kokila J.

2012

tom Vol. 22, no. 3

523-531

This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.