摘要
是以机器人及其安全系统所构成的一个可修复系统作为研究对象,运用泛函分析方法并结合C_0半群理论,证明了严格占优本征值在本系统的存在性并且是系统严格占优本征值,进一步证明了在一定条件下,系统的动态解以指数化形式收敛于系统的稳态解.
This paper presents the analysis of reliability of system which composes of a robot and its associated safety system. We use the functional analysis methods and the -semigroups theory of linear operators to prove the existence of strictly dominant eigenvalue. Furthermore, we prove that the dynamic solution of the system is exponential stable and converges to its static solution.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第24期91-101,共11页
Mathematics in Practice and Theory
关键词
热储备
严格占优本征值
本质谱界
扰动
指数稳定性
simple eigenvalue
resolvent operator
strictly dominant Eigen-value
essential spectrum bound
perturbation
exponential stable
