具有两个状态的修复系统的指数稳定性  

Exponential Stability of Repairable System with Two States

作　　者：赵立杰[1] 高超[2] 

机构地区：[1]延边大学人事处,延吉133002 [2]延边大学理学院数学系,延吉133002

出　　处：《数学的实践与认识》2009年第12期214-218,共5页Mathematics in Practice and Theory

摘　　要：利用C0-半群理论证明了具有两个状态的可修复系统非负解的存在唯一性,并研究了相应算子的谱特征,通过分析本质谱界经过扰动后的变化,得到系统动态解以指数形式收敛于稳态解.The existence of a unique nonegative time-dependent solution of repairable system with two state is obtained by using C0-Semigroup theory. And we study the spectral properties of the system. Then the essential spectral bound is discussed by using perturbation method. Lastly, we get the result that the dynamic solution of the system exponentially tends to the steady solution.

关 键 词：C0-半群 本质谱界 指数稳定性 

分 类 号：O152.7[理学—数学]