Relative controllability of fractional dynamical systems with distributed delays in control

Authors:
K. Balachandran;Yong Zhou;J. Kokila
Affiliations:
Department of Mathematics, Bharathiar University, Coimbatore, 641 046, India;Department of Mathematics, Xiangtan University, Hunan, 411105, China;Department of Mathematics, Bharathiar University, Coimbatore, 641 046, India
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

This paper deals with the global relative controllability of linear and nonlinear fractional dynamical systems with distributed delays in control for finite dimensional spaces. Sufficient conditions for controllability results are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by Mittag Leffler matrix function. An example is given to illustrate the theory.