| 引用本文: | 段文勇,蔡晨晓,邹云,尤静.时滞耦合和非时滞耦合的奇异复杂动态网络之同步性准则(英文)[J].控制理论与应用,2013,30(8):947~955.[点击复制] |
| DUAN Wen-yong,CAI Chen-xiao,ZOU Yun,YOU Jing.Synchronization criteria for singular complex dynamical networks with delayed coupling and non-delayed coupling[J].Control Theory and Technology,2013,30(8):947~955.[点击复制] |
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| 时滞耦合和非时滞耦合的奇异复杂动态网络之同步性准则(英文) |
| Synchronization criteria for singular complex dynamical networks with delayed coupling and non-delayed coupling |
| 摘要点击 3250 全文点击 1670 投稿时间：2012-10-28 修订日期：2013-04-07 |
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| DOI编号 10.7641/CTA.2013.12240 |
| 2013,30(8):947-955 |
| 中文关键词 同步性 复杂动态网络 奇异系统 时滞依赖标准 线性矩阵不等式 |
| 英文关键词 synchronization complex dynamical networks singular system delay-dependent criteria linear matrix inequality |
| 基金项目 This work was supported by the National Natural Science Foundation of China (Nos. 61104118, 61174038, 61104064, 61203129). |
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| 中文摘要 |
| 本文利用李雅普诺夫稳定性理论, 对时滞耦合和非时滞耦合的奇异复杂动态网络之同步获得了一些新的充分条件. 这些条件均可转化为求解一组线性矩阵不等式(LMI). 在降低准则保守性的过程中, 本文充分运用了矩阵函数的凸性和自由权重矩阵理论. 最后给出了两个数例; 与已有文献做了比较, 说明本文结论的有效性, 以及较低的保守性. |
| 英文摘要 |
| By using Lyapunov-Krasovskii (LK) functional approach, we derive novel synchronization criteria in the form of linear matrix inequalities (LMIs) for singular complex dynamical networks with delayed coupling and non-delayed coupling. The convexity of matrix functions and the free-weighting matrix method are fully exploited to reduce the conservatism of the results we obtained. Numerical examples are presented to illustrate the efficiency and less conservatism of the proposed method. |