4.5 Article

Global exponential stability of a class of impulsive cellular neural networks with supremums

Journal

Publisher

WILEY
DOI: 10.1002/acs.2440

Keywords

global exponential stability; impulsive cellular neural networks; supremums; Lyapunov method

Funding

  1. Project of Shandong Province Higher Educational Science and Technology Program [J12LI04]
  2. Research Fund for Excellent Young and Middle-aged Scientists of Shandong Province [BS2012DX039]
  3. National Natural Science Foundation of China [11226136, 11301308]

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In this paper, we study the problem of global exponential stability for impulsive cellular neural networks with time-varying delays and supremums. Using Young's inequality and Lyapunov-like functions, new stability criteria are proved. Because supremums and impulses are relevant in various contexts, including problems in the theory of automatic control, our results can be applied in the qualitative investigations of many practical problems of diverse interest. Copyright (c) 2013 John Wiley & Sons, Ltd.

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