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

• Autor(es): Machado, J. A. Tenreiro ; Galhano, Alexandra ; Oliveira, Anabela ; Tar, József K.
• Data: 2010
• Identificador Persistente: http://hdl.handle.net/10400.22/4276
• Origem: Repositório Científico do Instituto Politécnico do Porto
• Assunto(s): Fractional derivatives; Fractional calculus; Optimization; Genetic algorithms
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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.