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New stability and stabilization conditions for systems with time-delay
Xia, Yuanqing; Liu, G. P.; Shi, P.; Rees, D.; Thomas, E. J. C.
Source PublicationINTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
2007
Volume38Issue:1Pages:17-24
SubtypeArticle
AbstractIn this article, the problems of stability and stabilization for systems with both constant and time-varying delays have been considered. By the so-called lifting method, time-delay systems are transformed into delay-free systems such that simple necessary and sufficient conditions have been developed for the stability analysis of systems with constant delays. For systems with time-varying delays, they have been converted to a switched system so that the existing results can be applied to analyze the problems of stability and stabilization. Linear matrix inequality (LMI) approach has been employed to the state feedback control design. Numerical examples are given to show the effectiveness of the proposed technique.
KeywordTime-delay Linear Matrix Inequality (Lmi) Uncertain Systems Discrete-time Systems
WOS HeadingsScience & Technology ; Technology
WOS KeywordH-INFINITY CONTROL ; POLYTOPIC-TYPE UNCERTAINTIES ; DEPENDENT ROBUST STABILITY ; LINEAR-SYSTEMS ; STATE-DELAY ; FUNCTIONALS ; CRITERIA
Indexed BySCI
Language英语
WOS Research AreaAutomation & Control Systems ; Computer Science ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Computer Science, Theory & Methods ; Operations Research & Management Science
WOS IDWOS:000243584600002
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9450
Collection09年以前成果
Affiliation1.Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
2.Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
3.Chinese Acad Sci, Inst Automat, CSIS Lab, Beijing 100864, Peoples R China
Recommended Citation
GB/T 7714
Xia, Yuanqing,Liu, G. P.,Shi, P.,et al. New stability and stabilization conditions for systems with time-delay[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,2007,38(1):17-24.
APA Xia, Yuanqing,Liu, G. P.,Shi, P.,Rees, D.,&Thomas, E. J. C..(2007).New stability and stabilization conditions for systems with time-delay.INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,38(1),17-24.
MLA Xia, Yuanqing,et al."New stability and stabilization conditions for systems with time-delay".INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 38.1(2007):17-24.
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