分数阶多智能体系统一致性问题  

Consensus Problem in Fractional-Order Multi-Agent Systems

作　　者：宋昱飞 

机构地区：[1]长沙理工大学数学与统计学院,湖南 长沙

出　　处：《应用数学进展》2024年第7期3031-3038,共8页Advances in Applied Mathematics

摘　　要：本文研究了非线性分数阶多智能体系统中的一致性问题,考虑了间歇采样的情况。首先,通过设计具有间歇采样的控制协议,建立分数阶多智能体的动力学模型。随后,运用图论、李亚普诺夫函数、拉普拉斯变换和逆拉普拉斯变换,解决了具有一个领导者和多个跟随者的一致性问题。最后,我们通过仿真实验,实现了多智能体一致性控制,验证了该方法在实际应用中的有效性和可行性。In this paper, we investigate the consensus problem in nonlinear fractional-order multi-agent systems considering intermittent sampling. Firstly, by designing control protocols with intermittent sampling, the dynamic model of fractional-order multi-agent systems is established. Then, utilizing graph theory, Lyapunov functions, Laplace transform, and inverse Laplace transform, the consensus problem with one leader and multiple followers is addressed. Finally, through simulation examples, multi-agent consensus control is achieved, validating the effectiveness and feasibility of this approach in practical applications.

关 键 词：分数阶多智能体系统 一致性 间歇采样 李亚普诺夫函数 

分 类 号：G63[文化科学—教育学]