重庆理工大学学报（自然科学版）2017，Vol.31Issue(4)：141-144,4.DOI:10.3969/j.issn.1674-8425(z).2017.04.023
马尔科夫切换型时滞系统的稳定性
Stability of Markov Switching Delay Systems
摘要
Abstract
Markov switching delay system is a kind of systems which can be well described as the system with random and time delay.The stability is the foundation of its research.By choosing a appropriate Lyapunov-Krasovskii functional, using linear matrix inequality and Schur lemma, the stability criteria dependent on the sufficient small delay for the considered system can achieve asymptotic stability.Finally, the feasible matrix solution can be found by LMIs Toolbox Matlab, and the numerical simulation was designed by means of LMIs Toolbox Matlab, which shows the effectiveness of the conclusion.关键词
时滞/随机系统/Brownian运动/马尔科夫切换Key words
time-delay/stochastic system/Brownian motion/Markov switching分类
数学引用本文复制引用
叶志勇,潘素英,张华..马尔科夫切换型时滞系统的稳定性[J].重庆理工大学学报（自然科学版）,2017,31(4):141-144,4.基金项目
国家自然科学基金资助项目(61364006) （61364006）
重庆市教委科学技术项目(KJ1500915) （KJ1500915）
重庆理工大学科研项目(2013ZD22) （2013ZD22）
