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非线性大系统的弱能观性
引用本文:韩志涛,段晓东,张嗣瀛.非线性大系统的弱能观性[J].东北大学学报(自然科学版),2003,24(12):1123-1125.
作者姓名:韩志涛  段晓东  张嗣瀛
作者单位:1. 东北大学,理学院,辽宁,沈阳,110004
2. 大连民族学院,计算机系,辽宁,大连,116600
3. 东北大学,信息科学与工程学院,辽宁,沈阳,110004
基金项目:国家自然科学基金资助项目(69974008)
摘    要:将非线性系统的弱能观性的方法应用于非线性大系统,借用了非线性大系统的定义,提出了非线性大系统的弱能观性的定义及非线性大系统的弱能观性的条件·由非线性子系统的弱能观性得到了非线性大系统的弱能观性·子系统弱能观性可以用此系统的能观性对偶分布是否满足能观性秩条件来判别,非线性大系统弱能观的充要条件是各个子系统弱能观,因此只需判别各个子系统的能观性对偶分布即可得到非线性大系统的弱能观性,而无须判别非线性大系统的能观性对偶分布·

关 键 词:非线性大系统  子系统  弱能观性  不可区分点集
文章编号:1005-3026(2003)12-1123-03
修稿时间:2003年5月9日

Weak Observability of Nonlinear Large-Scale System
HAN Zhi-tao,DUAN Xiao-dong,ZHANG Si-ying.Weak Observability of Nonlinear Large-Scale System[J].Journal of Northeastern University(Natural Science),2003,24(12):1123-1125.
Authors:HAN Zhi-tao  DUAN Xiao-dong  ZHANG Si-ying
Institution:HAN Zhi-tao~1,DUAN Xiao-dong~2,ZHANG Si-ying~3
Abstract:?Borrowing the definition from a nonlinear large-scale system, the weak observability of nonlinear system is applied to the lender to define its weak observability, with its formation condition explained, i.e., the weak observability of large-scale system arises from that of nonlinear subsystem. As to the subsystems' weak observabilities, they can be judged by if their dual distribution satisfies the observable sequencing conditions or not. It implies that the necessary and sufficient condition of a weakly observable nonlinear large-scale system is that each and every subsystem is weakly observable. So, the weak observability of a nonlinear large-scale system can be confirmed simply by judging the dual distribution of all subsystems with that of a nonlinear large-scale system omissible.
Keywords:nonlinear large-scale system  subsystem  weak observability  identical point set
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