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

Weirui Zhao and Yong Tan

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 1, 47-57

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.

Keywords: Cohen–Grossberg neural networks; Delays; Globally exponential stability; Lyapunov functionals (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:1:p:47-57

DOI: 10.1016/j.matcom.2006.08.003

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