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Paper details
Number 3 - September 2012
Volume 22 - 2012
On the controllability of fractional dynamical systems
Krishnan Balachandran, Jayakumar Kokila
Abstract
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.
Keywords
controllability, fractional differential equations, Mittag-Leffler function