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Title: A discrete method to solve fractional optimal control problems
Author: Almeida, R.
Torres, D. F. M.
Keywords: Direct methods
Fractional calculus
Fractional optimal control
Differentiation (calculus)
Caputo fractional derivatives
Dynamic control systems
Fractional order
Integer order
Optimal control systems
Issue Date: Jun-2015
Publisher: Springer Verlag
Abstract: We present a method to solve fractional optimal control problems, where the dynamic control system depends on integer order and Caputo fractional derivatives. Our approach consists in approximating the initial fractional order problem with a new one that involves integer order derivatives only. The latter problem is then discretized, by application of finite differences, and solved numerically. We illustrate the effectiveness of the procedure with an example.
Peer review: yes
DOI: 10.1007/s11071-014-1378-1
ISSN: 0924-090X
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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