4.5 Article

Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions

Journal

NEURAL PROCESSING LETTERS
Volume 49, Issue 2, Pages 625-641

Publisher

SPRINGER
DOI: 10.1007/s11063-018-9835-3

Keywords

Shunting inhibitory cellular neural networks; Mixed delay; Nonlinear decay function; Asymptotically almost periodic solution; Convergence

Funding

  1. Natural Scientific Research Fund of Zhejiang Province of China [LY18A010019]
  2. Natural Scientific Research Fund of Hunan Provincial of China [2016JJ1001, 2016JJ6103, 2016JJ6104]
  3. Natural Scientific Research Fund of Hunan Provincial Education Department of China [17C1076]

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In this paper, we propose a class of asymptotically almost periodic shunting inhibitory cellular neural networks with mixed delays and nonlinear decay functions. Without using the exponential dichotomy theory of linear differential equations, a set of easily verifiable sufficient conditions are established to show that every solution of the considered system is asymptotically almost periodic, and converges to a same almost periodic function as t+, which improve and supplement some previously known researches. Finally, a numerical example is given to demonstrate the effectiveness of the obtained results.

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