A model transformation class for delay-dependent stability analysis

A model transformation class for delay-dependent stability analysis
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DOI:
10.1109/acc.1999.782791
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发表时间:
1999-06
期刊:
Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)
影响因子:
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通讯作者:
S. Niculescu
S. Niculescu
中科院分区:
其他
文献类型:
--
作者:
S. Niculescu

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研究了一类单时滞线性差分微分方程的渐近稳定性问题。提出了计算最大允许时延的充分条件(用线性矩阵不等式表示)。该方法的新奇在于使用一些参数化的模型转换的初始系统。“最佳”参数是通过使用状态反馈结构。所得到的结果恢复或改进以前的时滞无关或时滞相关的控制文献的标准。
Focuses on some asymptotic stability problems of a class of linear difference-differential equations involving a single delay. Sufficient conditions (expressed in terms of LMIs) for computing the maximal allowable delay are proposed. The novelty of the approach lies on the use of some parametrized model transformations of the initial system. The "optimal" parameters are derived by using a state-feedback construction. The obtained results recover or improve previous delay-independent or delay-dependent criteria from control literature.