| 耦合矩阵故障条件下非线性复杂网络系统的稳定性分析 |
| |
| 引用本文： | 翟春艳,孟祥雪,王国良.耦合矩阵故障条件下非线性复杂网络系统的稳定性分析[J].辽宁石油化工大学学报,2020,40(1):84-90. |
| |
| 作者姓名： | 翟春艳 孟祥雪 王国良 |
| |
| 作者单位： | 辽宁石油化工大学 信息与控制工程学院，辽宁 抚顺113001 |
| |
| 基金项目： | 家自然科学基金项目（61473140）；辽宁省自然科学基金项目（2014020106）。 |
| |
| 摘 要： | 研究了由非线性耦合节点组成的复杂网络系统的稳定性分析问题。针对系统中存在的网络耦合矩阵,基于系统子系统的切换点转化为离散点分析复杂网络系统稳定性的方法,并将N维的复杂网络系统转化为Kronecker积的形式进行计算,结合Lyapunov稳定性判定方法作为依据,得到满足复杂网络系统稳定性的充分条件。最后给出数值算例验证所设计方法的有效性。
|
| 关 键 词： | 耦合矩阵 复杂网络 Kronecker积 Lyapunov函数 |
| 收稿时间： | 2018-12-26 |
The Stability of Nonlinear Complex Networks with Coupling Matrix Failures |
| |
| Zhai Chunyan,Meng Xiangxue,Wang Guoliang.The Stability of Nonlinear Complex Networks with Coupling Matrix Failures[J].Journal of Liaoning University of Petroleum & Chemical Technology,2020,40(1):84-90. |
| |
| Authors: | Zhai Chunyan Meng Xiangxue Wang Guoliang |
| |
| Affiliation: | School of Information and Control Engineering，Liaoning Shihua University，Fushun Liaoning 113001，China |
| |
| Abstract: | This paper studies the stability of complex network systems with nonlinear coupled nodes. For the network coupying matries,the switching points of sub?systems discrete points in complex networks by using method that the Nimensinal complex network system transformed into the form of kronecker product.Then based on the Lyapunov function method, sufficient conditions for the stability of complex network systems are obtained. Based on the Lyapunov stability determination method, sufficient conditions for satisfying the stability of complex network systems are obtained. Finally, numerical examples are given to verify the effectiveness of the design method. |
| |
| Keywords: | Coupling matrix Complex network Kronecker product Lyapunov function |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《辽宁石油化工大学学报》浏览原始摘要信息 |
|
点击此处可从《辽宁石油化工大学学报》下载全文 |
