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| Study on Robust Uniform Asymptotical Stability for Uncertain Linear Impulsive Delay Systems | |
| 引用本文： | 刘斌,刘新芝,廖晓昕. Study on Robust Uniform Asymptotical Stability for Uncertain Linear Impulsive Delay Systems[J]. 系统工程与电子技术(英文版), 2003, 14(3) |
| 作者姓名： | 刘斌 刘新芝 廖晓昕 |
| 作者单位： | Liu Bin，Liu Xtnzhi & Liao Xiaoxin 1. Department of Control Science & Engineering，Huazhong University of Science & Technology，Wuhan 430074，P. R. China; 2. Department of Information & Computation Science，Zhuzhou Institute of Technology，Zhuzhou 412008，P. R. China; 3. Department of Applied Mathematics，University of Waterloo，Waterloo，Ontario N2L 3G1，Canada |
| 基金项目： | This project was supported by the National Natural Science Foundation of China (60274007)，NSERC-Canada. |
| 摘 要： | In the area of control theory the time-delay systems have been investigated. It's well known that delays often result in instability, therefore, stability analysis of time-delay systems is an important subject in control theory. As a result, many criteria for testing the stability of linear time-delay systems have been proposed. Significant progress has been made in the theory of impulsive systems and impulsive delay systems in recent years. However, the corresponding theory |
Study on Robust Uniform Asymptotical Stability for Uncertain Linear Impulsive Delay Systems |
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| Liu Bin,Liu Xtnzhi , Liao Xiaoxin. Study on Robust Uniform Asymptotical Stability for Uncertain Linear Impulsive Delay Systems[J]. Journal of Systems Engineering and Electronics, 2003, 14(3) | |
| Authors: | Liu Bin Liu Xtnzhi & Liao Xiaoxin |
| Affiliation: | 1. Department of Control Science & Engineering, Huazhong University of Science & Technology, Wuhan 430074, P. R. China;Department of Information & Computation Science, Zhuzhou Institute of Technology, Zhuzhou 412008, P. R. China 2. Department of Control Science & Engineering, Huazhong University of Science & Technology, Wuhan 430074, P. R. China;Department of Applied Mathematics, University of Waterloo, Waterloo,Ontario N2L 3G1, Canada 3. Department of Control Science & Engineering, Huazhong University of Science & Technology, Wuhan 430074, P. R. China |
| Abstract: | In the area of control theory the time-delay systems have been investigated. It's well known that delays often result in instability, therefore, stability analysis of time-delay systems is an important subject in control theory. As a result, many criteria for testing the stability of linear time-delay systems have been proposed. Significant progress has been made in the theory of impulsive systems and impulsive delay systems in recent years. However, the corresponding theory for uncertain impulsive systems and uncertain impulsive delay systems has not been fully developed. In this paper, robust stability criteria are established for uncertain linear delay impulsive systems by using Lyapunov function, Razumikhin techniques and the results obtained. Some examples are given to illustrate our theory. |
| Keywords: | Impulsive delay system Uncertain linear delay impulsive system Robust uniform asymptotical stability Lyapunov function Razumikhin techniques. |
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