Improved finite-time synchronization of coupled discontinuous neural networks under adaptive sliding mode control

This paper discusses the improved finite-time synchronization of coupled discontinuous neural network (CDNN) based on the adaptive sliding mode control (SMC). Firstly, the synchronization between the CDNN and the target network is defined. In particular, the coupled neural network contains discontinuous activation function and unknown external disturbance. Secondly, a new integral sliding mode manifold and adaptive sliding mode controller are designed based on SMC theory and Lyapunov stability theory. The synchronization error trajectory along the integral sliding mode surface can converge to zero in a finite time with the controller. The control method does not need to solve any LMI and is easy to verify. Finally, the validity of the theoretical analysis is verified by numerical simulation.