The boundedness of high-order Hopfield neural networks with variable delays

Authors:
Hongxiao Hu;Haijun Jiang;Zhidong Teng
Affiliations:
Department of Mathematics, Tongji University, Shanghai 200092, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PR China
Venue:
Neurocomputing
Year:
2010

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Abstract

In this paper, the uniformly boundedness and uniformly ultimately boundedness of high-order neural networks with time-varying delays are studied. Proper Lyapunov functionals and some analytic techniques are employed to derive the sufficient conditions under which the networks proposed are uniformly bounded and uniformly ultimately bounded. The results are shown to improve the results derived in [1] (Arik, 2004). Some examples are given to illustrate the correctness of our results.