Paper Infomation
Stability Analysis of a Kind of Repairable Control System with Partial State
Full Text(PDF, 383KB)
Author: Chun Ji, Dongxu Liu
Abstract: A kind of repairable control system with partial state is investigated by functional analysis method and linear semigroup theory in this paper. We prove the existence of the eigenvalue 0. Moreover, we analyze the resolvent of the system operator and obtain the distribution of spectrum points of the system operator. Then the stability of the system is obtained.
Keywords: Spectrum; Repairable system; Resolvent; Stability.
References:
[1]BS. Dhillon “A common cause failure availability model” Microelectronics Reliability, 1976, 15: 491—492.
[2]Baolin Feng, Yufeng Zhang, “ The Semi-Discretization of a Four-State System.” Mathematics In Practice And Theory, 2006,
[3] 36(5), 165-172.
[3]Dongxu Liu, Wenyi Si, Yujiao Yuan. “The exponential stability and reliability analysis of a kind of Single-component Repairable system.” Journal of Yanbian University (Natural Science Edition). 2014, 40(1), 15-19.
[4]Dongxu Liu, Shuyao Sun. “Exponential Stability of the Solution of Single-component Repairable System with an Identical Cold-standby component.” Scientific Journal of Control Engineering,2015,5(5),57-62
[5]Y P Cheng. “Matrix Theory”. Second Edition. Northwesten Polytechnical University Press, 2000
[6]Dongxu Liu, Wenyi Si, Zhe Yin. “Exponential Stability Analysis of the Solution of a Repairable Human-Machine System.” Scientific Journal of Control Engineering, 2014, 4(3): 86-93.
[7]Dongxu Liu. “Reliability analysis of a Repairable Quality Control System with an Identical Warm-standby Subsystem.” Scientific Journal of Control Engineering,2016,5,8-14