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Journal of Applied Nonlinear Dynamics 7(1) (2018) 59--72 | DOI:10.5890/JAND.2018.03.005

Venkatesan Govindaraj$^{1}$, Krishnan Balachandran$^{2}$, Raju K George$^{1}$

$^{1}$ Department of Mathematics, Indian Institute of Space Science and Technology, Thiruvananthapuram-695 547, India

$^{2}$ Department of Mathematics, Bharathiar University, Coimbatore-641 046, India

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Abstract

This paper deals with the numerical computations for the controllability of linear and nonlinear composite fractional dynamical systems. The goal is to compute a control state that drives the system from a prescribed initial state to described final state in a large enough controllability time. We address the controllability results using Grammian matrix and iterative technique. Some examples are provided to illustrate the results.

Acknowledgments

The first author would like to thank the National Board for Higher Mathematics(Department of Atomic Energy, India) for the financial support through the Post-Doctoral Fellowship(Grant No: 2/40(9)/2014/R&D-II/319).

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