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A Hierarchical Stability Criterion for Time-Delay Systems based on the Affine Bessel-Legendre InequalityA Hierarchical Stability Criterion for Time-Delay Systems based on the Affine Bessel-Legendre Inequality
- Other Titles
- A Hierarchical Stability Criterion for Time-Delay Systems based on the Affine Bessel-Legendre Inequality
- Issue Date
- Jul-2023
- Publisher
- 한국정보기술학회
- Keywords
- time-delay systems; stability analysis; integral inequality; lyapunov-krasovkii functionals; linear matrix inequalities; .
- Citation
- 한국정보기술학회논문지, v.21, no.7, pp 31 - 37
- Pages
- 7
- Journal Title
- 한국정보기술학회논문지
- Volume
- 21
- Number
- 7
- Start Page
- 31
- End Page
- 37
- ISSN
- 1598-8619
2093-7571
- Abstract
- Recently, the affine Bessel-Legendre(BL) inequality has been presented for a stability analysis of linear systems with time-varying delays. If the degree of the inequality increases, much less conservative stability conditions can be derived but an appropriate design of Lyapunov-Krasovskii functionals and its treatment should be followed. This paper proposes a hierarchical stability criterion of time-delay systems along with the degree of the affine BL inequality based on a novel generalized Lyapunov-Krasovskii functional. With the help of the proposed approach, the stability criteria for various degrees of the inequality can easily be obtained. A numerical example shows the generality and the efficiency of the proposed approach.
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Related Researcher
- Park, Bum Yong
- College of Engineering (School of Electronic Engineering)