摘要
文章研究了时滞复值忆阻神经网络的稳定性问题。将复值忆阻神经网络分解为实部和虚部,形成一个等价的实值系统,利用同胚理论和Lyapunov方法给出了保证系统存在唯一性和全局渐近稳定性的充分条件。最后,通过数值模拟验证了所得结论的正确性和有效性。
The article studies the stability problem of time-delay complex valued memristive neural networks.Decompose the complex valued memristive neural network into real and imaginary parts to form an equivalent real valued system,and provide sufficient conditions for ensuring the existence,uniqueness,and global asymptotic stability of the system using homeomorphism theory and Lyapunov method.Finally,the correctness and effectiveness of the obtained conclusions were verified through numerical simulations.
作者
黎会兰
韦碧鹏
黎会荣
LI Huilan;WEI Bipeng;LI Huirong(School of General Education,Liuzhou Polytechnic University,Liuzhou,Guangxi 545006,China;Du̓an Yao Autonomous County Second Senior High School,Hechi,Guangxi 530700,China)
基金
2022年度广西高校中青年教师科研基础能力提升项目(2022KY1043)
2023年度广西高校中青年教师科研基础能力提升项目(2023KY1074)
2021年度柳州职业技术学院科研项目(2021KB03)。
关键词
复值忆阻神经网络
全局渐近稳定
时滞
complex-valued memristive neural networks
global asymptotic stability
delay
