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具有预警功能的热储备可修复平行系统
引用本文:张树天,张玉峰.具有预警功能的热储备可修复平行系统[J].数学的实践与认识,2012,42(5):141-150.
作者姓名:张树天  张玉峰
作者单位:延边大学理学院数学系,吉林延吉,133002
摘    要:在热储备可修复平行系统的基础上,增加了一个预警状态,使其变为预警系统,使得系统的初值条件属于定义域,从而由线性算子半群方法求得的弱解变为强解,并研究了系统的稳定性,同时当风险系数λ_c。趋于无穷大时对预警系统和非预警系统的稳态可用度进行了分析.

关 键 词:预警系统  C_0-半群  稳定性  稳态可用度

Parallel Reparable System with Warm Standby with Warnning Function
ZHANG Shu-tian , ZHANG Yu-feng.Parallel Reparable System with Warm Standby with Warnning Function[J].Mathematics in Practice and Theory,2012,42(5):141-150.
Authors:ZHANG Shu-tian  ZHANG Yu-feng
Institution:(Department of Mathematics,Yanbian University,Yanji 133002,China)
Abstract:This paper based on Parallel Reparable System with Warm Standby,added a warning state,make its into warning function.it maked the initial conditions of the system belonged to the domain.So the weak solution obtained by the linear operator semigroup method becomed strong solution.And it also studied the stability of the system,At the same time whenλ_c steady-state availability of warning system and non-warning system are analyzed.
Keywords:warning function  classical solution  Co-semigroup  stability  steady-state availability
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