LMI conditions to global Mittag-Leffler stability of fractional-order neural networks with impulses

This paper is concerned with the global Mittag-Leffler stability issue for fractional-order neural networks with impulse effects. Based on the properties of topological degree, the existence of the network equilibrium point is proved, and the expression of solution is given. An inequality for the Caputo fractional derivative, with 0<γ<1, is improved, which plays central roles in the investigation of the global Mittag-Leffler stability. Applying the fractional Lyapunov method with impulses, the global Mittag-Leffler stability condition is presented in terms of linear matrix inequalities (LMIs). Finally, an illustrative example is given to demonstrate the effectiveness of the theoretical results.