| 非因果离散广义大系统的分散镇定 |
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| 引用本文： | 夏小惠,王为群.非因果离散广义大系统的分散镇定[J].南京理工大学学报(自然科学版),2006,30(1):65-69. |
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| 作者姓名： | 夏小惠 王为群 |
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| 作者单位： | 南京理工大学,理学院,江苏,南京,210094 |
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| 摘 要： | 该文利用Lyapunov方法研究了非因果的离散广义线性大系统的渐近稳定性及分散镇定问题。首先给出了镇定非因果广义系统的状态反馈律。其次在子系统正则的条件下，给出了广义大系统渐近稳定的判定定理，设计了镇定离散广义大系统的反馈律。该方法对子系统有无因果关系均适用。最后给出算例说明方法的有效性。
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| 关 键 词： | 广义大系统 渐近稳定性 Riccati方程 Lyapunov函数 非因果性 |
| 文章编号： | 1005-9830(2006)01-0065-05 |
| 收稿时间： | 2005-03-14 |
| 修稿时间： | 2005-10-12 |
Decentralized Stabilization of Discrete Singular Large-scale Systems with Non-causality |
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| XIA Xiao-hui,WANG Wei-qun.Decentralized Stabilization of Discrete Singular Large-scale Systems with Non-causality[J].Journal of Nanjing University of Science and Technology(Nature Science),2006,30(1):65-69. |
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| Authors: | XIA Xiao-hui WANG Wei-qun |
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| Institution: | School of Sciences, NUST, Nanjing 210094, China |
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| Abstract: | The problem of stability and decentralized stabilization for discrete singular large-scale systems with non-causality is solved by Lyapunov approach in this paper. The state feedback law stabilizing noncausal discrete singular system is given. Under the assumption of the subsystem regularity, a theorem of asymptotic stability of discrete singular large-scale systems is obtained and a feedback law is designed for the decentralized stabilization of discrete singular large-scale systems with non-causality. The given method is fit for all subsystems with or without non-causality. Numerical examples are given to illustrate the results. |
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| Keywords: | singular large-scale systems asymptotic stability Riccati equation Lyapunov function non-causality |
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