一类并联冗余可修复系统解的线性稳定性

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 458-463.

一类并联冗余可修复系统解的线性稳定性

Department of Information and Engineering, Xuchang Vocational Technical College

收稿日期:2009-01-07 出版日期:2009-09-30 发布日期:2023-06-30
作者简介:WANG Hong-yan(1963- ), female, native of Luohe, Henan, an associate professor of Xuchang Vocational Technical College, engages in differential equation and applied mathematics; ZHAO Zhan-feng (1974- ), male(Huizu), native of Xuchang, Henan, a lecturer of Xuchang Vocational Technical College, engages in computer multimedia and applied mathematics; QI Zheng-shen(1963- ), male, native of Xuchang, Henan, a professor of Xuchang Vocational Technical College, M.S.D., engages in differential equation.
基金资助:
Supported by the Nature Science Foundation of Henan Education Committee(2008A110022)；

The Linear Stability of a Solution of a Parallel Redundant Repairable System

Department of Information and Engineering, Xuchang Vocational Technical College

Received:2009-01-07 Online:2009-09-30 Published:2023-06-30
About author:WANG Hong-yan(1963- ), female, native of Luohe, Henan, an associate professor of Xuchang Vocational Technical College, engages in differential equation and applied mathematics; ZHAO Zhan-feng (1974- ), male(Huizu), native of Xuchang, Henan, a lecturer of Xuchang Vocational Technical College, engages in computer multimedia and applied mathematics; QI Zheng-shen(1963- ), male, native of Xuchang, Henan, a professor of Xuchang Vocational Technical College, M.S.D., engages in differential equation.
Supported by:
Supported by the Nature Science Foundation of Henan Education Committee(2008A110022)；

摘要/Abstract

摘要： In this paper, the solution of a parallel redundant repairable system is investigated.by using the method of functional analysis. Especially, the linear semigroups of operator theory on Banach space, we prove the existence of the strictly dominant eigenvalue, and show the linear stability of solution.

关键词: redundant, repairable system, strictly dominant eigenvalue, linear stability

Abstract: In this paper, the solution of a parallel redundant repairable system is investigated.by using the method of functional analysis. Especially, the linear semigroups of operator theory on Banach space, we prove the existence of the strictly dominant eigenvalue, and show the linear stability of solution.

Key words: redundant, repairable system, strictly dominant eigenvalue, linear stability

中图分类号:

O177.2

王鸿燕, 赵占锋, 亓正申. 一类并联冗余可修复系统解的线性稳定性[J]. 数学季刊, 2009, 24(3): 458-463.

WANG Hong-yan, ZHAO Zhan-feng, QI Zheng-shen. The Linear Stability of a Solution of a Parallel Redundant Repairable System [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 458-463.