Harmless delays for global exponential stability of Cohen-Grossberg neural networks

  • Authors:
  • Weirui Zhao;Yong Tan

  • Affiliations:
  • Department of Mathematics, Wuhan University of Technology, 122 Luoshi Road, Wuhan, Hubei 430070, PR China;School of Information Engineering, Hubei Institute for Nationalities, 10 Sankongqiao Road, Enshi, Hubei 445000, PR China

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 2007

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Abstract

In this paper, the Cohen-Grossberg neural networks with time delays are considered without assuming any symmetry of connection matrix and differentiability of the activation functions. By constructing a novel Lyapunov functional, new sufficient criteria for the existence of a unique equilibrium and global exponential stability of the network are derived. These criteria are all independent of the magnitudes of delays, and so the delays under these conditions are harmless. Those results are shown to generalize the previous global exponential stability results derived in the literature.