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- Title
Stability analysis of fractional order time‐delay systems: constructing new Lyapunov functions from those of integer order counterparts.
- Authors
Badri, Vahid; Tavazoei, Mohammad Saleh
- Abstract
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.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2019, Vol 13, Issue 15, p2476
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2018.5325