Exponential Stability of Solution of a Human-Machine System with Repair Facility

Author

Wang, Xiaohua

Author_Institution

Dept. of Chinese Language & literature, Shaoxing Coll. of Arts & Sci., Shaoxing, China

Volume

2

fYear

2009

fDate

March 31 2009-April 2 2009

Firstpage

663

Lastpage

667

Abstract

In this paper, the solution of a warm standby repairable human-machine system with two identical units is investigated. By using the method of functional analysis, especially, the linear operator theory on Banach space, we prove the existence of the strictly dominant eigenvalue, and we show the linear stability and the exponential stability of solution.

Keywords

Banach spaces; asymptotic stability; differential equations; eigenvalues and eigenfunctions; functional analysis; maintenance engineering; man-machine systems; reliability theory; Banach space; exponential stability; functional analysis; human-machine system; linear operator theory; linear stability; repair facility; Availability; Differential equations; Eigenvalues and eigenfunctions; Error analysis; Genetic expression; Humans; Man machine systems; Mathematical model; Redundancy; Stability analysis; Exponential stability; Linear stability; dominant eigenvalue; standby human-machine system;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Information Engineering, 2009 WRI World Congress on

Conference_Location

Los Angeles, CA

Print_ISBN

978-0-7695-3507-4

Type

conf

DOI

10.1109/CSIE.2009.684

Filename

5171422