Title :
Exponential Stability of k Out of N: G Redundant System
Author :
Zhiying Li ; Wenlong Wang
Author_Institution :
Dept. of Math., Shaoxing Univ. Zhejiang, Shaoxing, China
Abstract :
In this paper we investigate the dominant eigenvalue and stability of k out of N: G redundant system with repair facilities and multiple critical and non-critical errors. By using the method of functional analysis, especially, the linear operator theory on Banach space, we prove the existence of strictly dominant eigenvalue of the system. We show that the dynamic system is linear stable and exponential stable.
Keywords :
Banach spaces; functional analysis; maintenance engineering; reliability theory; Banach space; eigenvalue; exponential stability; functional analysis; k out of N: G redundant system; linear operator theory; linear stability; repair facility; Control theory; Educational institutions; Eigenvalues and eigenfunctions; Equations; Maintenance engineering; Stability; Dominant eigenvalue; Exponential stability; Linear stability; Redundant system;
Conference_Titel :
Control Engineering and Communication Technology (ICCECT), 2012 International Conference on
Conference_Location :
Liaoning
Print_ISBN :
978-1-4673-4499-9
DOI :
10.1109/ICCECT.2012.140
