New Lyapunov-Krasovskii Functionals for Global Asymptotic Stability of Delayed Neural Networks

作者：Zhang Xian Ming^*; Han Qing Long

来源：IEEE Transactions on Neural Networks, 2009, 20(3): 533-539.

DOI：10.1109/TNN.2009.2014160

• Linear matrix inequality (LMI)
• Lyapunov-Krasovskii functional
• neural networks
• stability
• time delay

This brief deals with the problem of global asymptotic stability for a class of delayed neural networks. Some new Lyapunov-Krasovskii functionals are constructed by nonuniformly dividing the delay interval into multiple segments, and choosing proper functionals with different weighting matrices corresponding to different segments in the Lyapunov-Krasovskii functionals. Then using these new Lyapunov-Krasovskii functionals, some new delay-dependent criteria for global asymptotic stability are derived for delayed neural networks, where both constant time delays and time-varying delays are treated. These criteria are much less conservative than some existing results, which is shown through a numerical example.

• 出版日期2009-3