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随机扰动下具有分布式时滞的多权重网络指数同步

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研究随机扰动下具有分布式时滞的多权重网络指数同步问题.鉴于分布式时滞和随机扰动给控制系统所带来的不确定性以及多权重网络具有的灵活性和普适性,通过设计有效的控制协议,利用伊藤引理和不等式技巧,选取合适的Lyapunov函数,得到多权重网络实现指数同步的充分性条件,并通过数值仿真验证理论结果的有效性.
Exponential synchronization of multi-weighted networks with distributed delays under stochastic disturbances
The exponential synchronization of multi-weighted networks with distributed delays and stochastic dis-turbances is investigated.Considering the uncertainty caused by distributed delays and stochastic disturbances in control systems,as well as the flexibility and universality of multi-weighted networks,an effective control protocol is designed.By using Ito's lemma,inequality techniques and a suitable Lyapunov function,some sufficient condi-tions are obtained to ensure the exponential synchronization of multi-weighted networks.Then,a numerical simula-tion is given to validate the effectiveness of the theoretical results.

multi-weighted networkstochastic disturbancedistributed delayexponential synchronization

李文治、胡元发、刘小洋

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江苏师范大学计算机科学与技术学院 江苏徐州 221116

多权重网络 随机扰动 分布式时滞 指数同步

国家自然科学基金江苏师范大学研究生科研与实践创新计划

622761192022XKT1552

2024

江苏师范大学学报(自然科学版)
江苏师范大学

江苏师范大学学报(自然科学版)

影响因子:0.323
ISSN:1007-6573
年,卷(期):2024.42(1)
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