NDLI: Asymptotical stability of fractional order systems with time delay via an integral inequality

Content Provider	IET Digital Library
Author	He, Bin Bin Zhou, Hua Cheng Chen, Yang Kou, Chun Hai
Abstract	In this study, the asymptotical stability for several classes of fractional order differential systems with time delay is investigated. The authors first present an integral inequality by which the Halanay inequality is extended to fractional order case. Based on the generalised Halanay inequality, the authors establish several asymptotical stability conditions under which the fractional order systems with time delay are asymptotically stable. It is worth to note that these stability conditions are easy to check without resorting to the solution expression of the systems.
Starting Page	1748
Ending Page	1754
Page Count	7
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 12, Aug (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1144
Journal	IET Control Theory & Applications
Publisher Date	2018-04-06
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Asymptotic Stability Asymptotical Stability Condition Delay Distributed Parameter Control System Fractional Order Case Fractional Order Differential System Fractional Order System Generalised Halanay Inequality Integral Inequality Lyapunov Method Stability in Control Theory Time Delay
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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