| 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 |
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| 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[J]. 控制理论与应用, 2013, 30(8): 947-955 |
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| 作者姓名： | 段文勇 蔡晨晓 邹云 尤静 |
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| 作者单位： | 1. 南京理工大学自动化学院,江苏南京,210094
2. 北方信息控制集团有限公司软件中心,江苏南京,211153 |
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| 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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| 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.
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| 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 |
| 收稿时间： | 2012-10-28 |
| 修稿时间： | 2013-04-07 |
Synchronization criteria for singular complex dynamical networks with delayed coupling and non-delayed coupling |
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| DUAN Wen-yong,CAI Chen-xiao,ZOU Yun and YOU Jing. Synchronization criteria for singular complex dynamical networks with delayed coupling and non-delayed coupling[J]. Control Theory & Applications, 2013, 30(8): 947-955 |
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| Authors: | DUAN Wen-yong CAI Chen-xiao ZOU Yun YOU Jing |
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| Affiliation: | School of Automation, Nanjing University of Science and Technology,School of Automation, Nanjing University of Science and Technology,School of Automation, Nanjing University of Science and Technology,Soft Center Department, North Information Industry, Lt. Company |
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| Abstract: | 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. |
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| Keywords: | synchronization complex dynamical networks singular system delay-dependent criteria linear matrix inequality |
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