The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo

The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo

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Article ID: iaor20131993
Volume: 156
Issue: 1
Start Page Number: 115
End Page Number: 126
Publication Date: Jan 2013
Journal: Journal of Optimization Theory and Applications
Authors:
Keywords: control, programming: dynamic
Abstract:

This paper deals with the optimal control problem of a fractional dynamic system in the sense of Caputo. The main result of this paper gives a second order necessary optimality condition for fractional optimal control problems, which has not been discussed before. An application is introduced to explain our main results.

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