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| 一类关联时滞广义大系统的稳定性与分散镇定 | |
| 引用本文： | 史国栋,沃松林,邹云.一类关联时滞广义大系统的稳定性与分散镇定[J].南京理工大学学报(自然科学版),2006,30(1):70-75. |
| 作者姓名： | 史国栋 沃松林 邹云 |
| 作者单位： | 1. 南京理工大学,自动化学院,江苏,南京,210094;常州信息职业技术学院,基础部,江苏,常州,213164 2. 常州信息职业技术学院,基础部,江苏,常州,213164 3. 南京理工大学,自动化学院,江苏,南京,210094 |
| 基金项目： | 中国科学院资助项目;江苏省高校自然科学基金 |
| 摘 要： | 该文研究了一类关联时滞广义大系统的稳定性和分散镇定问题，目的是设计一状态反馈分散控制器，使得闭环系统正则、脉冲自由且稳定。应用线性矩阵不等式方法，给出了该类关联时滞广义大系统的稳定性与分散镇定的充分条件。它们是一组严格的线性矩阵不等式。当这组条件可解时，给出了分散状态反馈控制器的严格线性矩阵不等式设计方法和控制律的表达式。最后给出算例仿真说明所给方法的应用。 |
| 关 键 词： | 时滞广义大系统 稳定性 分散镇定 线性矩阵不等式 |
| 文章编号： | 1005-9830(2006)01-0070-06 |
| 收稿时间： | 2005-04-11 |
| 修稿时间： | 2005-11-20 |
Stability and Decentralized Stabilization for a Class of Interconnected Singular Large-scale System with Time-delay |
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| SHI Guo-dong,WO Song-lin,ZOU Yun.Stability and Decentralized Stabilization for a Class of Interconnected Singular Large-scale System with Time-delay[J].Journal of Nanjing University of Science and Technology(Nature Science),2006,30(1):70-75. | |
| Authors: | SHI Guo-dong WO Song-lin ZOU Yun |
| Institution: | 1. School of Automation, NUST, Nanjing 210094, China; 2. Division of Public Teaching, Changzhou College of Information Technology, Changzhou 213164, China |
| Abstract: | This paper considers the problems of stability and decentralized stabilization for interconnected singular large-scale system with time-delay.The aim is to design a state decentralized controller such that the closed-loop system is regular and that the impulse is free and stable.It elaborates the sufficient conditions of the stability and decentralized stabilization for the interconnected singular large-scale system with time-delay in terms of strict linear matrix inequality by a linear matrix inequality(LMI) approach.Once this condition is feasible,a strict linear matrix inequality(LMI) design approach is developed with an explicit expression for decentralized state feedback controller.Finally,a numerical example is provided to demonstrate the application of the proposed method. |
| Keywords: | singular large-scale system with time-delay stability decentralized stabilization linear matrix inequality |
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