New Augmented Lyapunov-Krasovskii Functional for Stability Analysis of Systems with Additive Time-Varying Delays

doi:10.1002/asjc.1641

Details of Research Outputs

Status	已发表Published
Title	New Augmented Lyapunov-Krasovskii Functional for Stability Analysis of Systems with Additive Time-Varying Delays
Creator	Ding, Liming 1; He, Yong 2,3; Wu, Min 2,3; Wang, Qinggou4
Date Issued	2018
Source Publication	Asian Journal of Control
ISSN	1561-8625
Volume	20 Issue:4 Pages:1663-1670
Abstract	This paper is concerned with stability analysis for continuous-time systems with additive time-varying delays in the Lyapunov-Krasovskii(L-K) framework. Firstly, in view of the relationships between the upper bounds of the two time-varying delays, a new augmented L-K functional is constructed by using the information of the two upper bounds. Secondly, the free-matrix-based integral inequality is used to estimate the derivative of the constructed L-K functional. Thirdly, a less conservative criterion is derived to assess stability. Finally, a numerical example is presented to demonstrate the effectiveness of the criterion. © 2017 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
Keyword	additive time-varying delays free-matrix-based integral inequality linear matrix inequalities (LMIs) Lyapunov-Krasovskii (L-K) functional
DOI	10.1002/asjc.1641
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Automation & Control Systems
WOS Subject	Automation & Control Systems
WOS ID	WOS:000439746700029
Citation statistics	Cited Times:20[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/3591
Collection	Research outside affiliated institution
Affiliation	1.College of Electrical and Information Engineering, Huaihua University, Huaihua, 418000, China 2.School of Automation, China University of Geosciences, Wuhan, 430074, China 3.Hubei key Laboratory of Advanced Control and Intelligent Automation for complex Systems, Wuhan, Hubei 430074, China 4.Institute for Intelligent Systems, University of Johannesburg, Johannesburg, South Africa
Recommended Citation GB/T 7714	Ding, Liming,He, Yong,Wu, Minet al. New Augmented Lyapunov-Krasovskii Functional for Stability Analysis of Systems with Additive Time-Varying Delays[J]. Asian Journal of Control, 2018, 20(4): 1663-1670.
APA	Ding, Liming, He, Yong, Wu, Min, & Wang, Qinggou. (2018). New Augmented Lyapunov-Krasovskii Functional for Stability Analysis of Systems with Additive Time-Varying Delays. Asian Journal of Control, 20(4), 1663-1670.
MLA	Ding, Liming,et al."New Augmented Lyapunov-Krasovskii Functional for Stability Analysis of Systems with Additive Time-Varying Delays". Asian Journal of Control 20.4(2018): 1663-1670.

Files in This Item:
There are no files associated with this item.

Related Services

Usage statistics

Google Scholar

If you have any objections to this item, please fill out the form below and the administrator will contact you as soon as possible.
Content:
Email：	*
Institution:
Verification Code:	Refresh

Any comments and suggestions are welcomed.
Title:	*
Content:
Email：	*
Verification Code:	Refresh