| 刘松,朱琳.分数阶时滞切换网络的全局同步[J].安徽建筑大学学报,2024,32(2):61-66 |
| 分数阶时滞切换网络的全局同步 |
| Global Synchronization for Fractional Delayed Networks with Switching Topology |
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| DOI： |
| 中文关键词: 全局同步 分数阶时滞网络 切换拓扑 共同Lyapunov函数 |
| 英文关键词: global synchronization fractional delayed network switching topology common Lyapunov function |
| 基金项目:安徽省高等学校优秀青年人才支持计划重点项目（gxyqZD2020002）；安徽省自然科学基金项目（2008085QA19） |
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| 中文摘要: |
| 本文研究一类具有切换拓扑的Reimann-Liouville型分数阶时滞网络的同步问题，其中，时滞和无时滞耦合的结构矩阵不需要是可交换的。利用图论、Kronecker积和共同Lyapunov函数方法，提出了一种有效便捷的方法处理网络的全局同步，给出了一些简单的代数准则。本文所提出的方法可以很好地克服切换拓扑、时延和分数阶微积分带来的困难，数值结果验证了理论方法的有效性。 |
| 英文摘要: |
| This paper focused on synchronization for the Reimann-Liouville fractional delayed network with switching topology, wheredelayed and non-delayed coupling configuration matrices need not to be commutative. An effective and convenient method was pro‐posed to deal with global synchronization with graph theory, Kronecker product and common Lyapunov function approach, and somesimple algebraic criteria were derived. The proposed method may handle the troubles arising from switching topology, delays and frac‐tional calculus. Numerical results were presented to prove the effectiveness of the method. |
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