| 一类具有扇区和斜率约束的复杂动态网络的同步 |
| Synchronization of Complex Dynamical Networks with Sector and Slope Restrict |
| 投稿时间：2015-04-25 |
| 中文关键词:复杂动态网络 同步 Lur’e系统 反馈控制器 |
| 英文关键词:complex dynamical network synchronization Lur’e system feedback controller |
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| 中文摘要: |
| 针对具有扇区约束和斜率约束条件的非线性Lur’e系统组成的复杂动态网络，研究其同步问题。基于Lyapunov稳定性理论，采用静态误差反馈控制方法实现被控网络的同步。利用非线性函数的凸集性质，将非线性项描述为在扇区约束和斜率约束范围内的凸组合函数，以便使等式约束条件变为不等式约束条件。求出的反馈增益矩阵可由LMI的可行解给出。最后，通过数值例子验证了所提方法的有效性。 |
| 英文摘要: |
| The problem of global synchronization is studied for a class of complex dynamical networks, where each node is a general Lur’e system with sector and slope restricted nonlinearities. A static error feedback controller based on the Lyapunov stability theory is proposed for its synchronization. The nonlinearities are expressed as convex combinations of sector and slope bounds by using convex properties of the nonlinear function so that equality constraints are converted into inequality constraints. Then, the feedback gain matrix is derived through a feasible solution of LMI. Finally, a numerical example shows the effectiveness of the proposed method. |
| 郑海青,郭争争,王智剑.一类具有扇区和斜率约束的复杂动态网络的同步[J].石家庄铁道大学学报(自然科学版),2016,(2):102-106. |
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