A numerical algorithm for stability testing of fractional delay systems

Authors:
Chyi Hwang;Yi-Cheng Cheng
Affiliations:
Department of Chemical Engineering, I-Shou University, Ta-Hsu, Kaohsiung 840, Taiwan;Department of Chemical Engineering, National Chung Cheng University, Chia-Yi 621, Taiwan
Venue:
Automatica (Journal of IFAC)
Year:
2006

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Abstract

This paper presents an effective numerical algorithm for testing the BIBO stability of fractional delay systems described by fractional-order delay-differential equations. It is based on using Cauchy's integral theorem and solving an initial-value problem. The algorithm has a reliable result which is illustrated by several examples, and hence is practically useful in the analysis and design of feedback control for both integer- and fractional-order systems having time delays.