New delay-dependent analysis for global of asymptotically robust stability of cellular neural networks with time-varying delay

The problem of global asymptotic robust stability analysis is studied for a class of cellular neural networks with time-varying delay. Time-delay is frequently encountered in neural networks, and it is often a source of instability and oscillations in a system. It is very important to research the stability of delayed neural network, especially for global asymptotically robust stability of the neural network with time-varying delay. In the paper, a new delay-dependent global asymptotically robust stability condition of cellular neural network with time-varying delay is presented by constructing Lyapunov functional and using linear matrix inequality (LMI). Finally, numerical example is given to demonstrate the effect of the proposed method.