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Anti-periodic Oscillations of Fuzzy Delayed Cellular Neural Networks with Impulse on Time Scales

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Abstract

In this manuscript, fuzzy delayed cellular neural networks with impulse are studied. Applying time scale calculus knowledge, mathematical inequalities and constructing Lyapunov function, we establish a sufficient criterion that guarantees the existence and exponential stability of anti-periodic solutions for fuzzy delayed cellular neural networks with impulse. In addition, an example with its numerical simulations is given to illustrate our theoretical predictions.

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Authors and Affiliations

  1. Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, 550004, People’s Republic of China

    Changjin Xu

  2. School of Mathematics and Physics, University of South China, Hengyang, 421001, People’s Republic of China

    Maoxin Liao

  3. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, People’s Republic of China

    Peiluan Li

  4. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550004, People’s Republic of China

    Zixin Liu

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  1. Changjin Xu
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  2. Maoxin Liao
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  3. Peiluan Li
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  4. Zixin Liu
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Correspondence to Changjin Xu.

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The work is supported by National Natural Science Foundation of China (No. 61673008), Project of High-level Innovative Talents of Guizhou Province ([2016]5651), Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Project of Key Laboratory of Guizhou Province with Financial and Physical Features ([2017]004), Foundation of Science and Technology of Guizhou Province ([2019]1051), and Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science & Technology) (2018MMAEZD21), University Science and Technology Top Talents Project of Guizhou Province (KY[2018]047) and Guizhou University of Finance and Economics (2018XZD01).

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Xu, C., Liao, M., Li, P. et al. Anti-periodic Oscillations of Fuzzy Delayed Cellular Neural Networks with Impulse on Time Scales. Neural Process Lett 51, 2379–2402 (2020). https://doi.org/10.1007/s11063-020-10203-0

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