| 具有$1+N$节点的多重边赋权驱动响应 复杂网络复域函数投影同步 |
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| 引用本文： | 韩敏,张雅美.具有$1+N$节点的多重边赋权驱动响应 复杂网络复域函数投影同步[J].控制与决策,2017,32(5):935-938. |
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| 作者姓名： | 韩敏 张雅美 |
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| 作者单位： | 大连理工大学电子信息与电气工程学部,辽宁大连116023,大连理工大学电子信息与电气工程学部,辽宁大连116023 |
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| 基金项目： | 国家自然科学基金项目(61374154) |
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| 摘 要： | 针对复数域上具有$1+N$节点的多重边赋权驱动响应复杂网络的函数投影同步问题,提出一种简单有效的控制方法.首先,构建$1+N$多重边赋权驱动响应复杂网络模型,网络节点为复混沌系统;然后,定义同步尺度函数为复变量,设计混合反馈控制器,并构造相应的正定函数,利用李雅普诺夫稳定性定理和线性矩阵不等式变换给出同步的充分条件.仿真结果验证了所提出方法的有效性,同时揭示了网络节点重边数对同步速度的影响.
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| 关 键 词： | 多重边赋权 复杂网络 复域函数投影同步 |
Complex function projective synchronization in drive-response complex networks with ${bm 1+N |
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| HAN Min and ZHANG Ya-mei.Complex function projective synchronization in drive-response complex networks with ${bm 1+N[J].Control and Decision,2017,32(5):935-938. |
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| Authors: | HAN Min and ZHANG Ya-mei |
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| Affiliation: | Faculty of Electronic Information and Electrical Engineering,Dalian University of Technology,Dalian116023,China and Faculty of Electronic Information and Electrical Engineering,Dalian University of Technology,Dalian116023,China |
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| Abstract: | To deal with the problem of complex function projective synchronization in drive-response dynamical networks with $1+N$ nodes and multi-links in complex domain, an effective control scheme is proposed. Firstly, a more general drive-response complex network model is constructed by introducing $1+N$ nodes and multi-links. Then, the synchronization scheme is defined by making the scalar function a complex variable. Hybrid feedback controllers are designed and the corresponding positive definite function is constructed. Based on the Lyapunov stability theory and the linear matrix inequality, the sufficient condition of synchronization is given. Finally, the simulation results show the effectiveness of the synchronized methods, and the remarkable influences of multi-links on the synchronization speed are also revealed. |
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