Author(s)

Qiang Xi

School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Ji’nan, China.

In this paper, Hopfield neural networks with impulse and leakage time-varying delay are considered. New sufficient conditions for global asymptotical stability of the equilibrium point are derived by using Lyapunov-Kravsovskii functional, model transformation and some analysis techniques. The criterion of stability depends on the impulse and the bounds of the leakage time-varying delay and its derivative, and is presented in terms of a linear matrix inequality (LMI).

Global Asymptotical Stability, Hopfield Neural Networks, Leakage Time-Varying Delay, Impulse, Lyapunov-Kravsovskii Functional, Linear Matrix Inequality

Xi, Q. (2017) New Results of Global Asymptotical Stability for Impulsive Hopfield Neural Networks with Leakage Time-Varying Delay. Journal of Applied Mathematics and Physics, 5, 2112-2126. doi: 10.4236/jamp.2017.511173.