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Worst case control of uncertain jumping systems with multi-state and input delay information
Shi, P; Mahmoud, MS; Yi, JQ; Ismail, A
Source PublicationINFORMATION SCIENCES
2006-01-20
Volume176Issue:2Pages:186-200
SubtypeArticle
AbstractIn this paper, the problem of worst case (also called H-infinity) Control for a class of uncertain systems with Markovian jump parameters and multiple delays in the state and input is investigated. The jumping parameters are modelled as a continuous-time, discrete-state Markov process and the parametric uncertainties are assumed to be real, time-varying and norm-bounded that appear in the state, input and delayed-state matrices. The time-delay factors are unknowns and time-varying with known bounds. Complete results for instantaneous and delayed state feedback control designs are developed which guarantee the weak-delay dependent stochastic stability with a prescribed H-infinity-performance. The solutions are provided in terms of a finite set of coupled linear matrix inequalities (LMIs). Application of the developed theory to a typical example has been presented. (C) 2004 Elsevier Inc. All rights reserved.
KeywordTime-delay Systems Markovian Jump Parameters H-infinity State Feedback Stochastic Stability Uncertain Parameters
WOS HeadingsScience & Technology ; Technology
WOS KeywordH-INFINITY-CONTROL ; DISCRETE-TIME-SYSTEMS ; LINEAR-SYSTEMS ; STOCHASTIC STABILITY ; ROBUST STABILITY ; PARAMETERS
Indexed BySCI
Language英语
WOS Research AreaComputer Science
WOS SubjectComputer Science, Information Systems
WOS IDWOS:000233378300006
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9196
Collection09年以前成果
Affiliation1.Univ Glamorgan, Sch Technol, Div Math & Stat, Pontypridd CF37 1DL, M Glam, Wales
2.UAE Univ, Coll Engn, Al Ain, U Arab Emirates
3.Chinese Acad Sci, Inst Automat, Lab Complex Syst & Intelligence Sci, Beijing 100864, Peoples R China
Recommended Citation
GB/T 7714
Shi, P,Mahmoud, MS,Yi, JQ,et al. Worst case control of uncertain jumping systems with multi-state and input delay information[J]. INFORMATION SCIENCES,2006,176(2):186-200.
APA Shi, P,Mahmoud, MS,Yi, JQ,&Ismail, A.(2006).Worst case control of uncertain jumping systems with multi-state and input delay information.INFORMATION SCIENCES,176(2),186-200.
MLA Shi, P,et al."Worst case control of uncertain jumping systems with multi-state and input delay information".INFORMATION SCIENCES 176.2(2006):186-200.
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