Ezponential Asymptotic Stability of Repairable System with Randomly Selected Repairman

摘要：

In this paper, the repairable system solutions exponential asymptotic stability was discussed. First 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 operator. Following 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 zero. By the above results we obtain easily the exponential asymptotic stability of the solution of the repairable system.

关键词： Ezponential asymptotic stability Quasi-compact operator Positive contraction strongly continuous semigroup Repairable system

作者: Xing QIAO Dan MA Zhaoxing LI

作者单位: Dept. of Math., Daqing Normal University, Daqing 163712, China Beijing Institute of Information and Dept. of Math., Daqing Normal University, Daqing 163712, China

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 4580-4584

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）