Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

Guo-Chen Pang; Kan-Jian Zhang

doi:10.1007/s11633-015-0940-8

Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

doi: 10.1007/s11633-015-0940-8

Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China

基金项目:

This project was supported by Major Programme of National Natural Science Foundation of China (No. 11190015), National Natural Science Foundation of China (No. 61374006) and Graduate Student Innovation Foundation of Jiangsu Province (No. 3208004904).

详细信息

作者简介:
Guo-Chen Pang received the B. Sc. degree from the Department of Mathematics, Lin Yin University, China in 2009 and received his M. Sc. degree from the Institute of Automation, Qufu Normal University, China in 2012. He is currently a Ph.D. candidate at the School of Automation, Southeast University, China. His research interests include homogeneous polynomial function, domain of attraction and actuator saturation. E-mail: guochenpang@163.com ODCID iD: 0000-0003-4974-6308

Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China

Funds:

摘要: This paper deals with the robust stability of time-delay system with time-varying uncertainties via homogeneous polynomial Lyapunov-Krasovskii functions (HPLKF). We give a sufficient condition to demonstrate that the system is asymptotically stable. A new class of Lyapunov-Krasovskii function is introduced, whose main feature is that the conservativeness due to uncertainties is reduced. Numerical examples illustrate the effectiveness of our method.
- Asymptotically stable /
- time-delay /
- uncertainties /
- linear matrix inequality (LMI) /
- homogeneous polynomial
Abstract: This paper deals with the robust stability of time-delay system with time-varying uncertainties via homogeneous polynomial Lyapunov-Krasovskii functions (HPLKF). We give a sufficient condition to demonstrate that the system is asymptotically stable. A new class of Lyapunov-Krasovskii function is introduced, whose main feature is that the conservativeness due to uncertainties is reduced. Numerical examples illustrate the effectiveness of our method.
- Asymptotically stable /
- time-delay /
- uncertainties /
- linear matrix inequality (LMI) /
- homogeneous polynomial

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Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

doi: 10.1007/s11633-015-0940-8

Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

计量

Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

doi: 10.1007/s11633-015-0940-8

Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China

English Abstract

Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China

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Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

doi: 10.1007/s11633-015-0940-8

Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

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Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

doi: 10.1007/s11633-015-0940-8

Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China

English Abstract

Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China

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