Polynomial synchronization of complex-valued inertial neural networks with multi-proportional delays

This paper investigates the polynomial synchronization (PS) problem of complex-valued inertial neural networks with multi-proportional delays. It is analyzed based on the non-separation method. Firstly, an exponential transformation is applied and an appropriate controller is designed. Then, a new sufficient criterion for PS of the considered system is derived by the Lyapunov function approach and some inequalities techniques. In the end, a numerical example is given to illustrate the effectiveness of the obtained result.

Automated summary

This paper investigates the polynomial synchronization problem of complex-valued inertial neural networks with multi-proportional delays. It analyzes the problem using the non-separation method. Firstly, an exponential transformation is applied and an appropriate controller is designed. Then, a new sufficient criterion for polynomial synchronization is derived using the Lyapunov function approach and inequalities techniques. A numerical example is provided to illustrate the effectiveness of the obtained result.