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

Zhuang Yao, Ziye Zhang, Zhen Wang, Chong Lin, Jian Chen · Communications in Theoretical Physics · 2022

Abstract 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.

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