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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Controllability Results for Nonlinear Higher Order Fractional Delay Dynamical Systems with Control Delay

Journal of Environmental Accounting and Management 8(2) (2019) 211--232 | DOI:10.5890/JAND.2019.06.005

M. Sivabalan, R. Sivasamy, K. Sathiyanathan

Department of Mathematics, SRMV College of Arts and Science, Coimbatore - 641020, India

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Abstract

This paper establishes a set of sufficient conditions for the nonlinear fractional delay dynamical systems with control delay of order 1 < α < 2, and the delays are in state variable as well as control variable. The solution representations are provided. The main tool are the Mittag-Leffler matrix function and the Schaefer’s fixed point theorem. Examples are presented to illustrate the results.

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