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Mathematics 2017, 5(2), 25; doi:10.3390/math5020025

Discrete-Time Fractional Optimal Control

Department of Electrical Engineering, National Institute of Technology, Silchar 788010, Assam, India
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Academic Editor: Hari M. Srivastava
Received: 13 December 2016 / Revised: 24 March 2017 / Accepted: 14 April 2017 / Published: 19 April 2017
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Abstract

A formulation and solution of the discrete-time fractional optimal control problem in terms of the Caputo fractional derivative is presented in this paper. The performance index (PI) is considered in a quadratic form. The necessary and transversality conditions are obtained using a Hamiltonian approach. Both the free and fixed final state cases have been considered. Numerical examples are taken up and their solution technique is presented. Results are produced for different values of α . View Full-Text
Keywords: optimal control; fractional derivative; Hamiltonian approach; fractional order system optimal control; fractional derivative; Hamiltonian approach; fractional order system
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Chiranjeevi, T.; Biswas, R.K. Discrete-Time Fractional Optimal Control. Mathematics 2017, 5, 25.

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