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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.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.
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Key words:
- Lurie systems /
- delay /
- absolute stability /
- delay-dependent criterion
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