2023
DOI: 10.1002/rnc.6666
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Dissipativity analysis for Lur'e systems with two additive time‐varying delays via some novel Lyapunov–Krasovskii functionals

Abstract: The problem of dissipativity analysis is discussed for Lur'e systems with two additive time-varying delays (ATDs) in this paper. Based on the dynamic delay interval (DDI) method, some novel Lyapunov-Krasovskii functionals (LKFs) are constructed, in which part of Lyapunov matrices are requested to be positive definite. Then strictly dissipativity criteria of Lur'e systems with ATDs are presented in terms of linear matrix inequalities (LMIs). As by-products, the stability criteria of Lur'e systems with ATDs and … Show more

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Cited by 3 publications
(2 citation statements)
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“…[8][9][10] As one of the most remarkable characteristics of dynamic systems, dissipativity is essential for analyzing nonlinear systems, which has widespread applications, such as stability analysis, nonlinear control, and adaptive control system design. [11][12][13] It describes the energy dissipation process through the input-output energy supply function and the state-based storage function of systems, and it is an effective tool for characterizing important system behaviors. Consequently, a class of analysis and synthesis problems of nonlinear systems can be deduced by combining the two.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…[8][9][10] As one of the most remarkable characteristics of dynamic systems, dissipativity is essential for analyzing nonlinear systems, which has widespread applications, such as stability analysis, nonlinear control, and adaptive control system design. [11][12][13] It describes the energy dissipation process through the input-output energy supply function and the state-based storage function of systems, and it is an effective tool for characterizing important system behaviors. Consequently, a class of analysis and synthesis problems of nonlinear systems can be deduced by combining the two.…”
Section: Introductionmentioning
confidence: 99%
“…It can describe nonlinear systems with arbitrary accuracy by smoothly merging multiple linear systems and can be used to investigate nonlinear systems straightforwardly 8–10 . As one of the most remarkable characteristics of dynamic systems, dissipativity is essential for analyzing nonlinear systems, which has widespread applications, such as stability analysis, nonlinear control, and adaptive control system design 11–13 . It describes the energy dissipation process through the input‐output energy supply function and the state‐based storage function of systems, and it is an effective tool for characterizing important system behaviors.…”
Section: Introductionmentioning
confidence: 99%