Improvements on Robust Stability of Sampled-Data System with Long Time Delay

This paper mainly studies the problem of the robust stability analysis for sampled-data system with long time delay. By constructing an improved Lyapunov-Krasovskii functional and employing some free weighting matrices, some new robust stability criteria can be established in terms of linear matrix...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2014; no. 2014; pp. 1 - 7
Main Authors Wang, Shigang, Bi, Yongli, Li, Yingsong
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Puplishing Corporation 01.01.2014
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Algorithms
Criteria
Data systems
Equivalence
Feasibility
Linear matrix inequalities
Mathematical analysis
Mathematical models
Robustness
Sampled data systems
Stability
Stability analysis
Stability criteria
Stabilization
Time delay
Time lag
Variables
Weighing
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Summary:This paper mainly studies the problem of the robust stability analysis for sampled-data system with long time delay. By constructing an improved Lyapunov-Krasovskii functional and employing some free weighting matrices, some new robust stability criteria can be established in terms of linear matrix inequalities. Furthermore, the proposed equivalent criterion eliminates the effect of free weighing matrices such that numbers of decision variables and computational burden are less than some existing results. A numerical example is also presented and compared with previously proposed algorithm to illustrate the feasibility and effectiveness of the developed results.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:1024-123X
1563-5147
DOI:10.1155/2014/580768