Mean stability of continuous-time semi-Markov jump linear positive systems

被引：0
|
作者：
Ogura, Masaki [1 ]
Martin, Clyde F. [1 ]
机构：
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
来源：
2014 AMERICAN CONTROL CONFERENCE (ACC) | 2014年
关键词：
STOCHASTIC STABILITY; AGENTS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we study the mean stability of continuous-time semi-Markov jump linear positive systems, which are switched linear systems such that their state variables are in positive orthants and their switching signal is a Markov renewal process. The main result of this paper shows that the mean stability is determined by the spectral radius of a matrix. In the proof we utilize a stability-preserving discretization of continuous-time semi-Markov jump linear systems. The obtained results are demonstrated through the stability analysis and the stabilization of linear time-invariant systems with controller failures.
引用
收藏
页码：3261 / 3266
页数：6
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