Title :
Exponential Stability of Solution of a Human-Machine System with Repair Facility
Author_Institution :
Dept. of Chinese Language & literature, Shaoxing Coll. of Arts & Sci., Shaoxing, China
fDate :
March 31 2009-April 2 2009
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;
Conference_Titel :
Computer Science and Information Engineering, 2009 WRI World Congress on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-0-7695-3507-4
DOI :
10.1109/CSIE.2009.684
