Novel delay-dependent global asymptotic stability condition of Hopfield neural networks with delays

✍ Scribed by Degang Yang; Chunyan Hu

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 488 KB
• Volume: 57
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2008.10.047

✦ Synopsis

In this paper, the global asymptotic stability of Hopfield neural networks with delays is investigated. Distinct differences from other analytical approaches lie in transforming to an equivalent system by using a parameterized transformation which allows free variables in an operator. A novel, less conservative and restrictive criterion than those established in the earlier references is given in terms of several matrix inequalities by utilizing the Lyapunov theory and matrix inequality framework. The results are related to the size of delays. Numerical examples are given to show the effectiveness of our proposed method.