Exponential synchronization of coupled inertial neural networks with mixed delays via weighted integral inequalities

Seakweng Vong, Chenyang Shi, Zhongsheng Yao · International Journal of Robust and Nonlinear Control · 2020

Summary We study the exponential synchronization of coupled inertial neural networks with both discrete‐time delay and distributed delay by quantized pinning controllers. Novel integral inequalities, which generalize the Jensen‐based inequality, are developed by choosing appropriate weight functions in our recent work. An exponential synchronization criterion is established by applying these inequalities to analyzing a Lyapunov‐Krasovskii functional which takes mixed delays into account. Numerical simulations show that the criterion can reduce conservativeness when designing parameters of the controller.

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