关于非线性大系统的集结方程与稳定性
On the Aggregation Equation and Stability of Nonlinear Large Systems
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摘要: 本文研究了非线性大系统的稳定性问题.讨论了子系统的稳定强度以及子系统间连接强 度的定义,指出利用这些概念可以直接建立大系统的集结方程.文中提出了三类集结模型: 线性的、定范围线性的以及非线性的集结模型.分析和例子表明这种集结方程给出的稳定性 判据,是较少保守的.Abstract: The stability of nonlinear large systems is studied in this paper. The strength of stability of subsystems and the strength of interconnections between subsystems are defined. The aggregation equations of large systems may be obtained directly from these definitions. Three kinds of aggregative models are presented: linear, linear in finite region and nonlinear. Analysis and examples show that the stabilit criteria established by aggregation equations are less conservative.
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