时间标度上时滞脉冲复值神经网络的全局稳定性

闫欢; 宋乾坤; 赵振江

doi:10.3879/j.issn.1000-0887.2015.11.007

时间标度上时滞脉冲复值神经网络的全局稳定性

doi: 10.3879/j.issn.1000-0887.2015.11.007

¹重庆交通大学信息科学与工程学院,重庆 400074;²重庆交通大学数学系,重庆 400074;³湖州师范学院数学系, 浙江湖州 313000

基金项目: 国家自然科学基金（61273021; 61473332）; 重庆市研究生科研创新项目(CYS14163)

详细信息

作者简介:
闫欢(1991—)，女，重庆万州人，硕士生(E-mail: huanyancquc@163.com);宋乾坤(1963—)，男，四川岳池人，教授，博士(通讯作者. E-mail: qiankunsong@163.com);赵振江（1961—），男，新疆喀什人，教授，硕士(E-mail: zhaozjcn@163.com).

中图分类号: O175.13
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出版历程
- 收稿日期: 2015-06-16
- 修回日期: 2015-07-21
- 刊出日期: 2015-11-15

Global Stability of Impulsive Complex-Valued Neural Networks With Time Delay on Time Scales

¹School of Information Science and Engineering, Chongqing Jiaotong University,Chongqing 400074, P.R.China;²Department of Mathematics, Chongqing Jiaotong University,Chongqing 400074, P.R.China;³Department of Mathematics, Huzhou University,Huzhou, Zhejiang 313000, P.R.China

Funds: The National Natural Science Foundation of China(（61273021; 61473332)

摘要

摘要: 研究了时间标度上具有时滞和脉冲影响的复值神经网络的全局稳定性问题.利用时间标度上的微积分理论，将连续时间型复值神经网络和离散时间型复值神经网络统一在同一个框架下进行研究.在不要求激励函数有界的条件下，运用同胚映射原理，建立了确保时滞复值神经网络平衡点存在性和唯一性的判定条件.通过构造合适的Lyapunov-Krasovskii泛函，并使用自由权矩阵方法和矩阵不等式技巧，获得了时间标度上具有时滞和脉冲影响的复值神经网络平衡点全局稳定性的充分条件.给出的判据是由复值线性矩阵表示的，易于MATLAB软件的YALMIP Toolbox实现.数值仿真实例验证了获得结果的有效性.
- 复值神经网络 /
- 时间标度 /
- 时滞 /
- 脉冲 /
- 复值线性矩阵不等式 /
- 全局稳定性
Abstract: The global stability of impulsive complex-valued neural networks with time delay on time scales was investigated. Based on the time scale calculus theory, both the continuous-time and discrete-time neural networks were described under the same framework. For the considered complex-valued neural networks, the activation functions need not be bounded. According to the homeomorphism mapping principle in the complex domain, a sufficient condition for the existence and uniqueness of the equilibrium point of the addressed complex-valued neural networks was proposed in complex-valued linear matrix inequality (LMI). Through the construction of appropriate Lyapunov-Krasovskii functionals, and with the free weighting matrix method and matrix inequality technique, a delay-dependent criterion for checking the global stability of the complex-valued neural networks was established in the complex-valued LMIs. Finally, a simulation example shows the effectiveness of the obtained results.
- complex-valued neural network /
- time scale /
- time delay /
- impulsive /
- linear matrix inequality /
- global stability

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参考文献(22)

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时间标度上时滞脉冲复值神经网络的全局稳定性

doi: 10.3879/j.issn.1000-0887.2015.11.007

作者简介:
闫欢(1991—)，女，重庆万州人，硕士生(E-mail: huanyancquc@163.com);宋乾坤(1963—)，男，四川岳池人，教授，博士(通讯作者. E-mail: qiankunsong@163.com);赵振江（1961—），男，新疆喀什人，教授，硕士(E-mail: zhaozjcn@163.com).

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Global Stability of Impulsive Complex-Valued Neural Networks With Time Delay on Time Scales

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留言板

时间标度上时滞脉冲复值神经网络的全局稳定性

doi: 10.3879/j.issn.1000-0887.2015.11.007

作者简介: 闫欢(1991—)，女，重庆万州人，硕士生(E-mail: huanyancquc@163.com);宋乾坤(1963—)，男，四川岳池人，教授，博士(通讯作者. E-mail: qiankunsong@163.com);赵振江（1961—），男，新疆喀什人，教授，硕士(E-mail: zhaozjcn@163.com).

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出版历程

Global Stability of Impulsive Complex-Valued Neural Networks With Time Delay on Time Scales

计量

出版历程

目录

作者简介:
闫欢(1991—)，女，重庆万州人，硕士生(E-mail: huanyancquc@163.com);宋乾坤(1963—)，男，四川岳池人，教授，博士(通讯作者. E-mail: qiankunsong@163.com);赵振江（1961—），男，新疆喀什人，教授，硕士(E-mail: zhaozjcn@163.com).