New criteria of finite time synchronization of fractional-order quaternion-valued neural networks with time delay

作者：

Highlights：

• a new quaternion sign function is based on real and complex numbers is presented. At the same time, several new lemmas are introduced by computationally proving to study the FTS of FOQVNNs.

• A corresponding controller with a quaternion sign function is designed based on the lemmas obtained above.

• By constructing the Lyapunov function and using some inequality skills under the case of algebraic and matrix inequalities, some synchronization criteria are obtained.

摘要

•a new quaternion sign function is based on real and complex numbers is presented. At the same time, several new lemmas are introduced by computationally proving to study the FTS of FOQVNNs.•A corresponding controller with a quaternion sign function is designed based on the lemmas obtained above.•By constructing the Lyapunov function and using some inequality skills under the case of algebraic and matrix inequalities, some synchronization criteria are obtained.

论文关键词：Finite-time synchronization,Quaternion-valued neural networks,Fractional-order,Delayed

论文评审过程：Received 14 April 2022, Revised 2 July 2022, Accepted 15 August 2022, Available online 7 September 2022, Version of Record 7 September 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127484