摘要
我们应用泛函分析中C_0半群理论研究了一类具有检测时间的可修复系统解的指数渐进稳定性.分析了系统算子的本征值,证明了0是它的严格占优本征值,利用生成元算子本性谱小于零,从而证明系统的动态解以指数形式收敛到其稳态解.
We discuss the exponential stability of the solution of a repairable system with checking time by applying the C_0 semigroup theory of function analysis,analyze the eigenvalue of the operator of the system,prove that 0 is strictly dominant eigenvalue and show that the dynamic solution of the system exponentially converges to the steady one since the spectral growth bound is less than zero.
出处
《数学进展》
CSCD
北大核心
2010年第5期567-576,共10页
Advances in Mathematics（China）
基金
supported by the NSFC(No.10671126)
关键词
可修复系统
C0半群
严格占优本征值
谱增长阶
指数稳定性
repairable system
Co-semigroup
strictly dominant eigenvalue
spectral growth bound
exponential stability
