具有比例时滞的 Cohen-Grossberg 神经网络的渐近同步与自适应同步
symptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays
本文主要研究了具有比例时滞的~Cohen-Grossberg 神经网络的同步。首先,通过设计简单的线性反馈控制, 讨论了神经网络的渐近同步, 利用变量代换、反证法和~Lyapunov 泛函理论,分别得到了依赖于时滞和独立于时滞的同步判别准则。另外,本文还设计出了自适应控制来降低控制成本,并利用~Barbalat 引理讨论了网络的自适应同步。最后,利用两个数值实例验证了理论结果的正确性和有效性。
enewcommand{ aggedright}{leftskip=0pt ightskip=0pt plus 0cm} aggedrightIn this paper, the synchronization of Cohen-Grossberg neural networks with proportional delays is investigated. Firstly, the asymptotical synchronization is proposed by designing a simple linear feedback controller, and some delay-independent and delay-dependent criteria are derived based on variable transformation, reduction to absurdity and Lyapunov functional theory.In addition, an adaptive control strategy is designed to reduce the control cost and the adaptive synchronization is investigated by means of Barbalat lemma.Finally, two numerical examples are given to show the validity and effectiveness of the theoretical results.
贾世超、于娟、胡成、蒋海军
计算技术、计算机技术
ohen-Grossberg 神经网络比例时滞同步线性控制自适应控制
enewcommand{aggedright}{leftskip=0pt ightskip=0pt plus 0cm}aggedright Cohen-Grossberg Neural NetworkProportional DelaySynchronizationLinear ControlAdaptive Control
贾世超,于娟,胡成,蒋海军.具有比例时滞的 Cohen-Grossberg 神经网络的渐近同步与自适应同步[EB/OL].(2017-04-01)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201704-17.点此复制
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