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分数阶时滞切换网络的全局同步

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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.
Global Synchronization for Fractional Delayed Networks with Switching Topology
This paper focused on synchronization for the Reimann-Liouville fractional delayed network with switching topology,where delayed and non-delayed coupling configuration matrices need not to be commutative.An effective and convenient method was proposed to deal with global synchronization with graph theory,Kronecker product and common Lyapunov function approach,and some simple algebraic criteria were derived.The proposed method may handle the troubles arising from switching topology,delays and fractional calculus.Numerical results were presented to prove the effectiveness of the method.

global synchronizationfractional delayed networkswitching topologycommon Lyapunov function

刘松、朱琳

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安徽大学数学科学学院,安徽合肥 230601

全局同步 分数阶时滞网络 切换拓扑 共同Lyapunov函数

安徽省高等学校优秀青年人才支持计划重点项目安徽省自然科学基金

gxyqZD20200022008085QA19

2024

安徽建筑大学学报
安徽建筑工业学院

安徽建筑大学学报

影响因子:0.354
ISSN:2095-8382
年,卷(期):2024.32(2)
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