The Asymptotic Stability of a System With Two Identical Robots and a Built-in Safety

被引：1

作者：

Feng, Xue ^{[1
]}

Hu, Yuchen ^{[1
]}

Yin, Hui ^{[2
]}

机构：

[1] Aviat Univ Air Force, Dept Math, Changchun, Peoples R China

[2] Shen Yang Urban Construct Univ, Dept Math, Shenyang, Peoples R China

来源：

2015 7TH INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS IHMSC 2015, VOL I | 2015年

关键词：

identical robots; safety system; stable solution; c(0)-semigroups;

D O I：

10.1109/IHMSC.2015.40

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we study the asymptotic behavior of a repairable system with two identical robots and a built-in safety. First, the integro-differential equations described the system was transformed into some abstract Cauchy problem. Second, by the positive c(0)-semigroups which is generated by the generator A+E. Last, by studying spectral properties of the operator corresponding to this system. As a result of the stability of c(0)-semigroup theory of linear operators, we show that the dynamic availability of the system converge the steady availability as time tends to infinity. we obtain the asymptotic stability of the solution of the repairable system.

引用

页码：370 / 373

页数：4

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