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Relative controllability of fractional dynamical systems with delays in control
Journal article   Peer reviewed

Relative controllability of fractional dynamical systems with delays in control

K. Balachandran, Yong Zhou and J. Kokila
Communications in nonlinear science & numerical simulation, Vol.17(9), pp.3508-3520
01/09/2012

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Physics Physics, Fluids & Plasmas Physics, Mathematical Science & Technology Technology
This paper is concerned with the controllability of nonlinear fractional dynamical systems with time varying multiple delays and distributed delays in control defined in finite dimensional spaces. Sufficient conditions for controllability results are obtained using the Schauder fixed point theorem and the controllability Grammian matrix which is defined by Mittag-Leffler matrix function. Examples are provided to illustrate the theory. (C) 2012 Elsevier B.V. All rights reserved.

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