| 加权向量范数型李雅普诺夫函数在大系统稳定性中的应用 |
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| 引用本文： | 唐功友,刘永清.加权向量范数型李雅普诺夫函数在大系统稳定性中的应用[J].青岛科技大学学报,1989(4). |
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| 作者姓名： | 唐功友 刘永清 |
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| 作者单位： | 青岛化工学院自动化系 华南理工大学自动化系博士研究生(唐功友)，华南理工大学 青岛化工学院自动化系兼职教授(刘永清) |
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| 摘 要： | 本文构造加权向量1-范数型李雅普诺夫函数。利用向量李雅普诺夫函数法结合比较原理研究线性定常大系统的稳定性。实现了大系统在稳定性分析中的模型集结。与1]的处理方法相比,本文的结果有更广泛的实用性,并减弱了子系统间关联项的保守性。
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| 关 键 词： | 李雅普诺夫函数 大系统稳定性理论 比较原理 模型集结 |
Application of Lyapunov's Function with Weighted Vector Norm Form in Stability Analysis to Large-Scale Systems |
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| Tang Gongyou.Application of Lyapunov's Function with Weighted Vector Norm Form in Stability Analysis to Large-Scale Systems[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,1989(4). |
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| Authors: | Tang Gongyou |
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| Affiliation: | Tang Gongyou (Qingdao Institute of Chemical Technology) Liu Yongqing (South China Science and Engineering University) |
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| Abstract: | Lyapunov's function with weighted vector 1-norm form is constructed. Stability of time-1nvariant linear large-scale systems is studied by vector Lyapunov's function method and comparison principle. The model aggregation of large-scale systems in stablity analysis is realized. The resultobtained is of wide application as compared with the result in, and weakens the conservation of the interconnected terms among subsystems. |
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| Keywords: | Lyapunov's function staoilty of large-scale system comparison principle model aggregation |
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