Optimal approximation of fractional derivatives through discrete-time fractions...

• Author(s): Machado, J. A. Tenreiro ; Galhano, Alexandra ; Oliveira, Anabela ; Tar, József K.
• Date: 2010
• Persistent ID: http://hdl.handle.net/10400.22/4276
• Origin: Repositório Científico do Instituto Politécnico do Porto
• Subject(s): Fractional derivatives; Fractional calculus; Optimization; Genetic algorithms
• Document Type: Article
• Language: English

Description

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 Padé 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.