Stability Analysis for High-Order Dynamic Neural Networks with Time Delays

This paper studies the problem of asymptotic stability for a class of high-order dynamic neural networks with time delays. Several useful lemmas are proved in this paper first. After that, the sufficient conditions for the asymptotic stability of the system with constant time delays are introduced, and also this asymptotic stability problem for the system with time-varying delays is put forward. In order to obtain above results, the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) approach are employed to investigate this kind of problems. Finally, some numerical examples are given to illustrate the advantages of our approach.