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
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)