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Stability of linear time invariant fractional delay systems of retarded type in the space of delay parameters

Mesbahi, A ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1016/j.automatica.2013.01.041
  3. Publisher: 2013
  4. Abstract:
  5. This paper presents a new method for assessing the bounded input bounded output stability of a class of fractional delay systems with commensurate orders and multiple commensurate delays of retarded type. In the proposed method, first, by mapping the principal sheet of the Riemann surface and a pseudo-delay transformation, an auxiliary polynomial is generated. Then, this auxiliary polynomial is employed to find roots of the characteristic equation on the imaginary axis. The properties of the root path close to these roots are used to identify intervals of delay values, in which the system is stable. The obtained results are illustrated via some numerical examples
  6. Keywords:
  7. Stability analysis ; Fractional-order system ; Time-delay system ; Fractional-order systems ; LTI systems ; Retarded type systems ; Time-delay systems ; Type systems ; Delay control systems ; Linear systems ; System stability
  8. Source: Automatica ; Volume 49, Issue 5 , 2013 , Pages 1287-1294 ; 00051098 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0005109813000423