Boundedness and exponential stability for nonautonomous FCNNs with distributed delays and reaction-diffusion terms

Authors:
Shuyun Niu;Haijun Jiang;Zhidong Teng
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China and National Center of ITS Engineering and Technology, Research Institute of Highway Ministry of Transport, ...;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China
Venue:
Neurocomputing
Year:
2010

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Abstract

In this paper, the boundedness and exponential stability for nonautonomous fuzzy cellular neural networks (FCNNs) with distributed delays and reaction-diffusion terms are investigated. By constructing suitable Lyapunov functional, introducing ingeniously some real parameters and applying the elementary inequality, we establish a series of criteria on the boundedness and globally exponential stability of solutions. In these criteria, we do not require that the response functions are bounded and differentiable. Finally, an example is given to show the effectiveness of the obtained results.