【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.更多还原

【Abstract】 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.更多还原