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非线性离散控制系统的可观测性

谭学利 田华

吉林大学学报(理学版)Issue(1):68-70,3.
吉林大学学报(理学版)Issue(1):68-70,3.DOI:10.13413/j.cnki.jdxblxb.2015.01.15

非线性离散控制系统的可观测性

Observability of Nonlinear Discrete Control Systems

谭学利 1田华1

作者信息

  • 1. 吉林大学 数学学院,长春 130012
  • 折叠

摘要

Abstract

The authors mainly studied the observability of autonomous discrete control systems and nonautonomous discrete control systems using Brouwer’s fixed point theorem.We found that if the nonlinear part f is continuous in x and bounded and moreover r(M)=n,then the autonomous discrete control system is locally observable.If there exists positive integer N ,such that matrix 췍M has column full rank,and f (i ,x (i ))is continuous in x for each i ∈[h ,h +N - 2 ],i is a positive integer and bounded,then the nonautonomous discrete control system is locally observable in step h .

关键词

非线性离散控制系统/可观测性/Brouwer 不动点定理

Key words

nonlinear discrete control system/observability/Brouwer’s fixed point theorem

分类

数理科学

引用本文复制引用

谭学利,田华..非线性离散控制系统的可观测性[J].吉林大学学报(理学版),2015,(1):68-70,3.

基金项目

国家自然科学基金(批准号:11201173) (批准号:11201173)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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