杨占英, 李静文, 谌永荣.一类分数阶神经网络的有限时间稳定(英文)[J].中南民族大学学报自然科学版,2019,(2):309-313
一类分数阶神经网络的有限时间稳定(英文)
Finite-time stabilization of a class of fractional-order neural networks
  
DOI:10.12130/znmdzk.20190228
中文关键词: 分数阶神经网络  有限时间  镇定  Gronwall不等式
英文关键词: fractional-order neural networks  finite-time  stabilization  Gronwall inequality
基金项目:国家自然科学基金资助项目 (11401595)
作者单位
杨占英, 李静文, 谌永荣 中南民族大学 数学与统计学学院武汉 430074 
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中文摘要:
      研究一类阶数在1和2之间的分数阶神经网络的有限时间镇定问题.基于反馈控制,得到一个实现有限时间镇定的充分条件.该条件是一个易于验证的代数不等式.不同于早期的证明,本文的证明主要利用Cauchy-Schwartz不等式和Gronwall不等式.最后,数值例子表明了理论结果的有效性.
英文摘要:
      The stabilization problem of a class of fractional-order neural networks with the orders lying in the interval (1,2) is studied. Based on the feedback control, a sufficient condition is obtained to realize the finite-time stabilization of networks. This condition is an algebraic inequality that can be easily calculated in applications. Different from those in earlier works, our proof mainly depends on the Cauchy-Schwartz inequality and the Gronwall inequality. Finally, an example is presented to verify the effectiveness of theoretical result.
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