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Robust stability analysis of fractional-order interval systems with multiple time delays

Mohsenipour, R ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1002/rnc.4461
  3. Publisher: John Wiley and Sons Ltd , 2019
  4. Abstract:
  5. This paper investigates the robust stability analysis of fractional-order interval systems with multiple time delays, including retarded and neutral systems. A bound on the poles of fractional-order interval systems of retarded and neutral type is obtained. Then, the concept of the value set and zero exclusion principle is extended to these systems, and a necessary and sufficient condition is produced for checking the robust stability of them. The value set of the characteristic equation of the systems is obtained analytically and, based on it, an auxiliary function is introduced to check the zero exclusion principle. Finally, two numerical examples are given to illustrate the effectiveness of the results presented. © 2019 John Wiley & Sons, Ltd
  6. Keywords:
  7. Fractional-order system ; Retarded delay system ; Time delay ; Auxiliary functions ; Characteristic equation ; Delay systems ; Fractional-order systems ; Multiple time delay ; Neutral delay system ; Robust stability ; Robust stability analysis ; System stability
  8. Source: International Journal of Robust and Nonlinear Control ; Volume 29, Issue 6 , 2019 , Pages 1823-1839 ; 10498923 (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/rnc.4461