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

fYear

2012

fDate

7-9 Dec. 2012

Firstpage

307

Lastpage

310

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Engineering and Communication Technology (ICCECT), 2012 International Conference on

Conference_Location

Liaoning

Print_ISBN

978-1-4673-4499-9

Type

conf

DOI

10.1109/ICCECT.2012.140

Filename

6414097

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2988913