Analysis of a two-unit standby redundant electronic equipment system under human failure

In this paper, we deal with a two-unit standby redundant electronic equipment system under human failure. We firstly formulate the problem into a suitable Banach space. Next, we will study the unique existence of the classical solution of the system by pure analysis method. Then we explain that the system has a unique generalized solution and it is just the classical one when t > 0 . We also carry out a detailed spectral analysis of the system operator A + B. Finally, the exponential stability of the system can be readily achieved.