摘要
研究了具有时滞的中立型一般Lurie系统的绝对稳定性问题.利用Lyapunov方法给出了系统在无限扇形角内绝对稳定的时滞相关准则,所给的判定条件是线性矩阵不等式(LMI)形式的,可以很方便地运用Matlab工具箱求解.一个应用的例子表明与现有的一些准则相比,本文所给的条件具有较小的保守性.
The problem of absolute stability for neutral general Lurie systems with delay is investigated. Using Lyapunov method, a delay-dependent criterion for absolute stability of the systems in infinite sector is given. The proposed condition is in terms of a linear matrix inequality (LMI) which can be easily solved by Matlab toolbox. An illustrative example shows that the condition obtained in this paper is less conservative than some existing criteria.
出处
《自动化学报》
EI
CSCD
北大核心
2004年第2期261-264,共4页
Acta Automatica Sinica
基金
国家自然科学基金(79970025)
国防科技预研基金(00J15.3.3.JW05)
大连理工大学青年基金资助