Non-fragile extended dissipative synchronization control for uncertain discrete-time neural networks with leakage and unbounded time-varying delays

This work focuses on the issue of non-fragile state-feedback extended dissipative synchronization control for uncertain discrete-time neural networks (DTNNs) with leakage delay and unbounded time-varying delays. Firstly, by utilizing system solutions-based inequality and novel non-fragile controller, sufficient condition for global exponential stability (GES) and extended dissipativity are obtained for the error system. The system solutions-based inequality method proposed in this article can reduce workload and computational complexity, and the controller considers the fragility issue and the leakage delay. In addition, an algorithm is proposed to solve the nonlinear inequalities in the sufficient condition. Secondly, to facilitate the application of the result, sufficient condition for extended dissipative synchronization is also obtained for the error system corresponding to DTNNs with bounded time-varying delays and without leakage delay. Finally, the feasibility and significance of the results are illustrated via numerical simulations.