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楊占英, 李靜文, 諶永榮.一類分數階神經網絡的有限時間穩定(英文)[J].中南民族大學學報自然科學版,2019,(2):309-313
一類分數階神經網絡的有限時間穩定(英文)
Finite-time stabilization of a class of fractional-order neural networks
  
DOI:10.12130/znmdzk.20190228
中文關鍵詞: 分數階神經網絡  有限時間  鎮定  Gronwall不等式
英文關鍵詞: fractional-order neural networks  finite-time  stabilization  Gronwall inequality
基金項目:國家自然科學基金資助項目 (11401595)
作者單位
楊占英, 李靜文, 諶永榮 中南民族大學 數學與統計學學院,武漢 430074 
摘要點擊次數: 207
全文下載次數: 183
中文摘要:
      研究一類階數在1和2之間的分數階神經網絡的有限時間鎮定問題.基于反饋控制,得到一個實現有限時間鎮定的充分條件.該條件是一個易于驗證的代數不等式.不同于早期的證明,本文的證明主要利用Cauchy-Schwartz不等式和Gronwall不等式.最后,數值例子表明了理論結果的有效性.
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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