Global Asymptotic Stability of Cellular Neural Networks

The global asymptotic stability problem of cellular neural networks with time delay is investigated. A new stability condition is presented based on Lyapunov-Krasovskii method, which is dependent on the size of delay. The result is given in the form of LMI, and the admitted upper bound of the delay can be obtained easily. The time delay dependent and independent results can be obtained, which include some results in the former literature. Finally, a numerical example is given to illustrate the effectiveness of the main results.