Lagrangian stability of memristor-based neural networks with unbounded time- varying delays

This paper focuses on exponential Lagrangian sta-bility for the memristor-based neural networks with unbounded time-varying delays. This paper utilizes the method based on the system solutions representation which without constructing Lyapunov-Krasovskii functionals to derive system stability criteria. A sufficient condition described by a few simple inequalities is guaranteed the exponential Lagrangian stability of system under consideration. Finally, the validity of the theoretical result is cearly demonstrated via a numerical example.