NDLI: Stability analysis of fractional order time-delay systems: constructing new Lyapunov functions from those of integer order counterparts

Content Provider	IET Digital Library
Author	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.
Starting Page	2476
Ending Page	2481
Page Count	6
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 15, Oct (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/15
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5325
Journal	IET Control Theory & Applications
Publisher Date	2019-06-25
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Asymptotic Stability Control System Analysis Delay Delay System Differential Equation (numerical Analysis) Distributed Parameter Control System Fractional Order Counterparts Fractional Order Time-delay System Function Theory And Analysis Integer Order Counterparts Integer Order Time-delay System Linear System Lyapunov Function Lyapunov Method Lyapunov-based Technique Lyapunov–Krasovskii Functionals Lyapunov–Krasovskii-based Stability Conditions Stability Stability Analysis Stability in Control Theory Synthesis Method Time Varying System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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