Discontinuity, Nonlinearity, and Complexity
Controllability Criteria for Nonlinear Higher Order Fractional Delay Dynamical Systems with Impulses
Discontinuity, Nonlinearity, and Complexity 8(2) (2019) 225239  DOI:10.5890/DNC.2019.06.009
M. Sivabalan, K. Sathiyanathan
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore  641020, India
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Abstract
This paper is concerned with the controllability of nonlinear higher order fractional delay with impulses, which involved Caputo derivatives of any different orders. A necessary and sufficient condition for the controllability of linear fractional delay dynamical systems with impulses has proved, and a sufficient condition for the corresponding nonlinear systems has obtained. Examples has given to verify the results.
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