Asymptotic Stability of the Dynamic Solution of an N-Unit Series System with Finite Number of Vacations  

作　　者：Abdugeni Osman Abdukerim Haji Askar Ablimit 

机构地区：[1]College of Mathematics and System Sciences, Xinjiang University, Urumqi, China [2]School of Mathematics and Physics, Xinjiang Education Institute, Urumqi, China

出　　处：《Journal of Applied Mathematics and Physics》2018年第11期2202-2218,共17页应用数学与应用物理（英文）

摘　　要：We investigate an N-unit series system with finite number of vacations. By analyzing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system operator we prove that the dynamic solution converges strongly to the steady state solution. Thus we obtain asymptotic stability of the dynamic solution of the system.We investigate an N-unit series system with finite number of vacations. By analyzing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system operator we prove that the dynamic solution converges strongly to the steady state solution. Thus we obtain asymptotic stability of the dynamic solution of the system.

关 键 词：N-Unit Series System C0-SEMIGROUP IRREDUCIBILITY ASYMPTOTIC Stability 

分 类 号：O1[理学—数学]