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

页码：3261 / 3266

页数：6

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