摘要
针对具有外部干扰和不确定参数的耦合神经网络,在结构平衡的符号图下,研究了固定时间与预设时间二分同步问题。基于非光滑分析与李雅普诺夫稳定性理论,设计了全新的固定时间二分同步控制协议,获得了耦合神经网络在固定时间内实现二分同步的判别准则。通过设计一类特殊形式的预设时间二分同步控制协议,讨论了耦合神经网络的预设时间二分同步,所得同步时间可由设计者根据任务需求预先设定。2个仿真例子验证了理论结果的正确性与有效性。
Under structural balanced signed graphs,the fixed-time and preset-time bipartite synchronization is studied for coupled neural networks with uncertain parameters and external disturbances.Based on the nonsmooth analysis and Lyapunov stability theory,a novel fixed-time bipartite synchronization control protocol is designed,and some criterion are obtained to ensure the fixed-time bipartite synchronization of coupled neural networks.Moreover,a special control protocol is proposed to discuss the preset-time bipartite synchronization for coupled neural networks,where the obtained synchronization time can be pre-set by designer as to the task requirements.Two numerical examples are presented to verify the correctness and effectiveness of the theoretical results.
作者
王陆翔
刘小洋
WANG Luxiang;LIU Xiaoyang(School of Computer Science and Technology,Jiangsu Normal University,Xuzhou 221116,China)
出处
《重庆理工大学学报(自然科学)》
CAS
北大核心
2022年第5期178-186,共9页
Journal of Chongqing University of Technology:Natural Science
基金
国家自然科学基金项目(61773185,61877030)
江苏省研究生科研与实践创新计划(KYCX20_2391)。
关键词
耦合神经网络
固定时间
预设时间
不确定参数
符号图
coupled neural networks
fixed time
preset time
uncertain parameters
signed graphs