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Your search keyword '"Balachandran, Krishnan"' showing total 5 results
Start Over Author "Balachandran, Krishnan" Topic fractional differential equations
5 results on '"Balachandran, Krishnan"'

2. On the controllability of fractional dynamical systems

Author

Balachandran Krishnan and Kokila Jayakumar

Subjects
controllability, fractional differential equations, mittag-leffler function, Mathematics, QA1-939, Electronic computers. Computer science, QA75.5-76.95
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.

Published
2012
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5. Numerical controllability of fractional dynamical systems.

Author

Balachandran, Krishnan and Govindaraj, Venkatesan

Subjects
*NUMERICAL analysis, *FRACTIONAL calculus, *DYNAMICAL systems, *AUTOMATIC control of steering gear, *NONLINEAR dynamical systems, *ITERATIVE methods (Mathematics)
Abstract

In this paper, we provide a computational procedure for controlled state and steering control for linear and nonlinear fractional dynamical systems of order 1 < α ≤ 2 in finite-dimensional spaces using the Mittag-Leffler matrix function and the iterative technique. Some numerical examples are provided to illustrate the results. [ABSTRACT FROM AUTHOR]

Published
2014
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