Global stability for discrete Cohen–Grossberg neural networks with finite and infinite delays

• DOI: 10.1016/j.aml.2012.06.011
• Publication Date: 2012-06-19T00:46:09Z
• Authors: Wenxue Li; Lisha Pang; Huan Su; Ke Wang
• Keywords: Graph theory; Applied Mathematics; Cohen–Grossberg neural networks; 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology; Stability

AbstractIn this paper, the global stability problem for a general discrete Cohen–Grossberg neural network with finite and infinite delays is investigated. A simple criterion ensuring the global asymptotical stability is established, by applying the Lyapunov method and graph theory. Finally, an example showing the effectiveness of the provided criterion is given.