摘要
文章通过设计一类具有执行器饱和的脉冲控制器来获得驱动响应神经网络的混沌同步.首先分别利用扇区非线性模型法和多面体表示法处理了脉冲时刻的系统的饱和非线性.其次,通过选取适当的二次Lyapunov函数,结合数学归纳法获得了线性矩阵不等式(LMIs)相关的局部指数同步准则.最后,通过一个数值例子验证了结论的有效性.
In this paper,we design a kind of impulsive controller with actuator saturation to obtain chaotic synchronization of the drive-response neural network.Firstly,we use the sector nonlinear model method and the polyhedral representation method to deal with the saturation nonlinearity of the system at the impulse moment.Secondly,by selecting the appropriate quadratic Lyapunov function,combined with mathematical induction to obtain the local exponential synchronization criterion related to linear matrix inequalities(LMIs).Finally,a numerical example is used to verify the validity of the conclusion.
作者
何志龙
陈小昆
HE Zhilong;CHEN Xiaokun(School of Statistics and Data Science,Xinjiang University of Finance and Economics,Urumqi 830012;College of Electronic and Information Engineering,Southwest University,Chongqing 400715)
出处
《系统科学与数学》
CSCD
北大核心
2022年第3期542-554,共13页
Journal of Systems Science and Mathematical Sciences
基金
国家重点研发计划(2018AAA0100101)
国家自然科学基金(61633011,61873213)
新疆维吾尔自治区自然科学基金青年基金(2022D01B13)
新疆财经大学校级科研项目-高层次人才专项(2022XGC065)资助课题。
关键词
神经网络
脉冲控制
执行器饱和
局部指数同步
初值可容许集
Neural network
impulsive control
actuator saturation
local exponential synchronization
initial admissible set
