TITLE: 
                        
                            New Results of Global Asymptotical Stability for Impulsive Hopfield Neural Networks with Leakage Time-Varying Delay
                                
                                
                                    AUTHORS: 
                                            Qiang Xi 
                                                    
                                                        KEYWORDS: 
                        Global Asymptotical Stability, Hopfield Neural Networks, Leakage Time-Varying Delay, Impulse, Lyapunov-Kravsovskii Functional, Linear Matrix Inequality 
                                                    
                                                    
                                                        JOURNAL NAME: 
                        Journal of Applied Mathematics and Physics,  
                        Vol.5 No.11, 
                        November
                                                        7,
                        2017
                                                    
                                                    
                                                        ABSTRACT: 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).