New Lyapunov-Krasovskii Functional for Stability Analysis of Linear Systems with Time-Varying Delay

This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay. A new delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed. Based on the LKF and by employing a generalized free-matrix-based integral inequality, less conservative d...

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Bibliographic Details
Published inJournal of systems science and complexity Vol. 34; no. 2; pp. 632 - 641
Main Authors Lin, Huichao, Zeng, Hongbing, Wang, Wei
Format Journal Article
LanguageEnglish
Published Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.04.2021
Springer Nature B.V
Subjects
Complex Systems
Control
Delay
Linear systems
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Stability analysis
Stability augmentation
Stability criteria
Statistics
Systems Theory
time-delay system
linear matrix inequality (LMI)
Augmented Lyapunov-Krasovskii functional
stability analysis
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Summary:This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay. A new delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed. Based on the LKF and by employing a generalized free-matrix-based integral inequality, less conservative delay-dependent stability criteria are obtained. Finally, two well-known numerical examples are used to confirm the effectiveness and the superiority of the presented stability criteria.
Bibliography:ObjectType-Article-1
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ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-020-9179-8