Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms
| Title | Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | Machado, T. J., A. M. S. F. Galhano, A. M. Oliveira, and J. K. Tar |
| Journal | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Volume | 15 |
| Issue | 3 |
| Pagination | 482 - 490 |
| Date Published | 2010 |
| Publication Language | eng |
| Abstract | This study addresses the optimization of rational fraction approximations for the discrete-time calculation of fractional derivatives. The article starts by analyzing the standard techniques based on Taylor series and Pade expansions. In a second phase the paper re-evaluates the problem in an optimization perspective by tacking advantage of the flexibility of the genetic algorithms. (C) 2009 Elsevier B.V. All rights reserved. |