| 非线性离散大系统的关联稳定性 |
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| 引用本文： | 肖会敏 刘永清. 非线性离散大系统的关联稳定性[J]. 华南理工大学学报(自然科学版), 1991, 19(2): 22-33 |
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| 作者姓名： | 肖会敏 刘永清 |
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| 作者单位： | 华南理工大学自动化系，华南理工大学自动化系 |
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| 摘 要： | 本文根据大系统分解集结思想和非负矩阵的偏序,通过孤立子系统的Cauchy矩阵与耦合矩阵的估计式,采用分块迭代估值方法来研究非线性离散大系统在其关联结构扰动下的稳定性,避免了构造Lyapunov函数的麻烦。
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| 关 键 词： | 离散大系统 相关稳定性 迭代法 |
THE CONNECTIVE STABILITY OF NONLINEAR DISCRETE LARGE-SCALE SYSTEMS |
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| Xiao Huimin , Liu Yongqing. THE CONNECTIVE STABILITY OF NONLINEAR DISCRETE LARGE-SCALE SYSTEMS[J]. Journal of South China University of Technology(Natural Science Edition), 1991, 19(2): 22-33 |
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| Authors: | Xiao Huimin & Liu Yongqing |
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| Abstract: | This paper studies the connective stability of nonlinear discrete large-scale systems by means of the lumped iteration method. It merely depends upon the relations between the Cauchy matrix of the isolated subsystem and interconnected matrix to give the explicit algebraic criteria of the connective stability. The difficulties associated with finding a Lyapunov function can be avoided. |
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| Keywords: | intermittent systems large-scale systems correlations stability iteration method/discrete large-scale systems connective structure perturbation connective stability |
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