Robust Mittag-Leffler Synchronization for Uncertain Fractional-Order Discontinuous Neural Networks via Non-fragile Control Strategy

This paper deals with the global robust non-fragile Mittag-Leffler synchronization issue for uncertain fractional-order neural networks with discontinuous activations. Firstly, a new inequality, which is concerned with the fractional derivative of the variable upper limit integral for the non-smooth integrable functional, is developed, and to be applied in the main results analysis. Then, the appropriate non-fragile controller with two types of gain perturbations is designed, and the global asymptotical stability is discussed for the synchronization error dynamical system by applying Lyapunov functional approach, non-smooth analysis theory and inequality analysis technique. In addition, the robust non-fragile Mittag-Leffler synchronization conditions are addressed in terms of linear matrix inequalities. Finally, two numerical examples are given to demonstrate the feasibility of the proposed non-fragile controller and the validity of the theoretical results.