| 具有变时滞的线性系统的时滞相关稳定性 |
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| 引用本文： | 张志飞,章兢.具有变时滞的线性系统的时滞相关稳定性[J].系统工程与电子技术,2001,23(2):60-61. |
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| 作者姓名： | 张志飞 章兢 |
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| 作者单位： | 1. 湘潭工学院信息与控制研究所,
2. 湖南大学电气与信息工程学院, |
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| 基金项目： | 国家自然科学基金资助课题(69974031) |
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| 摘 要： | 具有时滞的控制系统是工程实践中经常遇到的一类重要的非线性控制系统。根据微分方程理论和矩阵指数特性，提出了具有不确定性的时滞控制系统与时滞相关和与时滞无关稳定的充分性判据，并给出系统衰减速率的估计方法。该方法仅需假定时滞有界，因而其结论适用于变时滞的系统。同时还给出了应用实例，并与相关成果进行了比较，计算结果表明了该方法的有效性。
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| 关 键 词： | 时滞理论 线性系统 鲁棒控制 |
| 文章编号： | 1001-506X(2001)02-0060-02 |
| 修稿时间： | 2000年4月14日 |
On Delay-Dependent
Stability of Lurie Control Systems With Stationary Elements |
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| Zhang Zhifei Institute of Information and Control,Xiangtan Polytechnic University, Zhang Jing Institute of Electric and Information Engineering,Hunan University,Changsha.On Delay-Dependent
Stability of Lurie Control Systems With Stationary Elements[J].System Engineering and Electronics,2001,23(2):60-61. |
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| Authors: | Zhang Zhifei Institute of Information and Control Xiangtan Polytechnic University Zhang Jing Institute of Electric and Information Engineering Hunan University Changsha |
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| Institution: | Zhang Zhifei Institute of Information and Control,Xiangtan Polytechnic University,411201 Zhang Jing Institute of Electric and Information Engineering,Hunan University,Changsha 410084 |
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| Abstract: | The control system with delay is an important nonlinear control system in engineering. In this paper, the problem of the robust stability and decay estimations of such control system is considered. Several new criteria are given by applying the differential theorem, the decay rate for this class of system is also obtained. The only assumption is that the delay is bounded, the results here can be applied to the systems with varying time delay. Finally, a numerical computation is presented for illustration and comparison with previous results, which shows that the method is effective. |
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| Keywords: | Time log theory Linear system Robust control |
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