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Stability analysis of fractional order timedelay systems: Constructing new Lyapunov functions from those of integer order counterparts

Badri, V ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1049/iet-cta.2018.5325
  3. Publisher: Institution of Engineering and Technology , 2019
  4. Abstract:
  5. This study deals with proposing a Lyapunov-based technique for stability analysis of fractional order time-delay systems. The proposed technique is constructed on the basis of modifying the convex part of a class of Lyapunov-Krasovskii functionals commonly used in stability analysis of integer order time-delay systems. As a consequence for this achievement, it is revealed that the Lyapunov-Krasovskii-based stability conditions in integer order time-delay systems can result in stability of their fractional order counterparts defined based on Caputo/Riemann-Liouville derivative operators with orders in the range (0,1). The applicability of the study results is shown through three different case studies. © The Institution of Engineering and Technology 2019
  6. Keywords:
  7. Delay control systems ; Lyapunov functions ; Time delay ; Derivative operators ; Fractional order ; Integer-order counterparts ; Lyapunov-Krasovskii ; Lyapunov-Krasovskii functionals ; Stability analysis ; Stability condition ; Time-delay systems ; System stability
  8. Source: IET Control Theory and Applications ; Volume 13, Issue 15 , 2019 , Pages 2476-2481 ; 17518644 (ISSN)
  9. URL: https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5325