Exponential Asymptotic Stability Of A Repairable System With Two Identical Components
The repairable system solutions exponential asymptotic stability was discussed in this paper,First we prove that the positive contraction strongly continuous semigroup which is generated by the operator corresponding to these equations describing a system with two identical components is a quasi-compact operator.Following the result that 0 is an eigenvalue of the operator with algebraic index one and the strongly continuous semi-group 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.
Exponential asymptotic stability Quasi-compact operator Positive contraction strongly continuous semigroup
Xue Feng Ping Zuo Hongtu Hua Xiaoyan Qi
Department of Mathematics,Aviation University Of AirForce,Changchun,130000,China Department of Mechanics,Aviation University Of AirForce,Changchun,130000,China
国际会议
广州
英文
2428-2431
2012-11-16（万方平台首次上网日期，不代表论文的发表时间）