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- Title
Study of B-spline collocation method for solving fractional optimal control problems.
- Authors
Edrisi-Tabriz, Yousef; Lakestani, Mehrdad; Razzaghi, Mohsen
- Abstract
In this article, a class of fractional optimal control problems (FOCPs) are solved using a direct method. We present a new operational matrix of the fractional derivative in the sense of Caputo based on the B-spline functions. Then we reduce the solution of fractional optimal control problem to a nonlinear programming (NLP) one, where some existing well-developed algorithms may be applied. Numerical results demonstrate the efficiency of the presented technique.
- Subjects
CAPUTO fractional derivatives; NONLINEAR programming; NONLINEAR equations; SPLINE theory
- Publication
Transactions of the Institute of Measurement & Control, 2021, Vol 43, Issue 11, p2425
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/0142331220987537