Existence and exponential stability of periodic solution for a class of Cohen-Grossberg-type BAM neural networks

Authors:
Anfeng Tian;Mingjiu Gai;Bao Shi;Qiang Zhang
Affiliations:
Naval Aeronautical Engineering Institute, Qingdao Branch, Qingdao, Shandong 266041, PR China and Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yant ...;Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, PR China;Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, PR China;Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, PR China
Venue:
Neurocomputing
Year:
2010

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Abstract

In this paper, we present a general class of hybrid bi-directional associative memory (BAM) neural networks. By using M-matrix theory, inequality technique and other analysis techniques, we investigate the exponential stability and the existence of periodic solutions for this kind of neural networks and sufficient conditions are obtained. The results generalize and improve some previous known results. Finally, two examples are given to demonstrate the effectiveness of the results obtained.