Exponential Asymptotic Stability of Repairable System with Randomly Selected Repairman

作     者：Xing QIAO~(1,2),Dan MA~1,Zhaoxing LI~1 1.Dept.of Math.,Daqing Normal University,Daqing 163712,China 2.Beijing Institute of Information and Control,Beijing 100037,China 

会议名称：《2009中国控制与决策会议》

会议日期：2009年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：Daqing Normal University Science Research Fund(N0.08ZQ06) Heilongjiang Province Natural Science Fund(No.A200813) 

关 键 词：Exponential asymptotic stability Quasi-compact operator Positive contraction strongly continuous semigroup Repairable system 

摘      要：正In this paper,the repairable system solution’s exponential asymptotic stability was *** we prove that the positive contraction strongly continuous semigroup which is generated by the operator corresponding to these equations describing a system with randomly selected repairman is a quasi-compact *** the result that 0 is an eigenvalue of the operator with algebraic index one and the strongly continuous semigroup is contraction,we deduce that the spectral bound of the operator is *** the above results we obtain easily the exponential asymptotic stability of the solution of the repairable system.