4.6 Article

New results on almost periodic solutions for CNNs with time-varying leakage delays

Journal

NEURAL COMPUTING & APPLICATIONS
Volume 25, Issue 6, Pages 1293-1302

Publisher

SPRINGER LONDON LTD
DOI: 10.1007/s00521-014-1610-4

Keywords

Cellular neural networks; Almost periodic solution; Exponential stability; Time-varying delay; Leakage term

Funding

  1. Construct Program of the Key Discipline in Hunan Province
  2. Science and Technology Planning project of Technology Department of Hunan Province [2012FJ4300]
  3. National Natural Science Foundation of Hunan Province [13JJ3120, 14JJ2133]
  4. Natural Scientific Research Fund of Hunan Provincial Education Department of China [13C880]

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In this paper, based on the exponential dichotomy theory and contraction mapping fixed point theorem, we obtain some sufficient conditions ensuring the global exponential stability of almost periodic solutions for a new generalized cellular neural network model with time-varying delays in leakage (or forgetting) terms. Our results complement some recent ones. Moreover, an illustrative example and its numerical simulation are given to demonstrate the effectiveness of the obtained results.

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