期刊
IEEE TRANSACTIONS ON CYBERNETICS
卷 51, 期 4, 页码 2142-2152出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2019.2946076
关键词
Delays; Artificial neural networks; Synchronization; Control theory; Stability; Delay effects; Linear matrix inequalities; Complex-valued neural networks (CVNNs); inhibitory factors; matrix measure; proportional delays; stability; synchronization
类别
资金
- National Natural Science Foundation of China [61673308]
This article proposes a complex-valued neural network model with proportional delays and inhibitory factors, and derives criteria for ensuring its global exponential stability using the Halanay inequality technique and matrix measure method. By designing a feedback controller and providing limitation conditions, global exponential synchronization of two neural network models is achieved successfully.
In this article, complex-valued neural networks (CVNNs) with proportional delays and inhibitory factors are proposed. First, the global exponential stability of the model addressed is investigated by employing the Halanay inequality technique and the matrix measure method. Some criteria are derived to guarantee the global exponential stability of CVNNs with proportional delays and inhibitory factors. The obtained criteria are applicable not only to systems with proportional delays but also to systems with arbitrary delays. Here, the Lyapunov functions are not constructed. Compared with the Lyapunov method, the matrix measure method makes the obtained criteria more concise, and the Halanay inequality makes the analytical procedure more compact. Furthermore, the global exponential synchronization of two neural-network models with proportional delays and inhibitory factors is also studied. By designing a feedback controller and giving some limitation conditions, the drive system and the response system realize global exponential synchronization. Finally, numerical simulation examples are provided to validate the effectiveness of the theoretical results obtained.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据