Exponential Stability of a Repairable System with N Failure Modes and K Standby Units

摘要：

This paper is devoted to studying the existence, uniqueness and exponential stability of repairable system’s time-dependent solution. By analysis the spectrum of the system operator generated by the repairable system, we derive that zero is the unique spectral point on the imaginary axis and the other spectral lie on the left half plane. The positive contraction strongly continuous semigroup which is generated by the operator corresponding to these equation is a quasicompact operator. As a result, we get the desired result that the dynamic solution of the system exponentially tends to the steady solution.

关键词： quasi-compact operator dynamic solution steady-state solution exponential stability

作者: ZHAO Zhixin GUO Lina QIAO Xing SHA Yuan Xia

作者单位: Department of Engineering, Beijing Institute of Information and Control, Beijing 100037, P. R. China Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China School of Mathematical Science, Daqing Normal University, Daqing 163712, P. R. China

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 1833-1836

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）