期刊
JOURNAL OF VIBRATION AND CONTROL
卷 17, 期 13, 页码 2059-2065出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546311399950
关键词
Collocation method; fractional optimal control problems (FOCPs); Legendre multiwavelet technique; optimal control
In this article the Legendre multiwavelet basis with the aid of a collocation method has been applied to give the approximate solution for the fractional optimal control problems (FOCPs). The properties of the Legendre multiwavelet are presented. These properties together with the collocation method are then utilized to reduce the problem to the solution of an algebraic system. Numerical results and a comparison with the exact solution in the cases when we have an exact solution are given to demonstrate the applicability and efficiency of the new method.
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