Finite-time synchronization for delayed complex-valued neural networks via the exponential-type controllers of time variable

•This paper focuses on the finite-time synchronization by using inequality techniques and designing.•two kind of different exponential controllers of time variable are designed.•two criteria to assure the finite-time synchronization for the discussed drive-response delayed complex-valued neural networks are obtained.•Compared with the existing literature, our controllers designed are new, our results on the finite-time synchronization are new. This paper focuses on the finite-time synchronization for a class of delayed drive-response complex-valued neural networks. By using inequality techniques and designing two kind of different exponential controllers of time variable, two criteria to assure the finite-time synchronization for the discussed drive-response delayed complex-valued neural networks are obtained. Since in the practice, it is reasonable to introduce the time variable t into the controllers designed, hence, our controllers designed related to the time variable and errors perform better than ones in the existing papers. Since some inequalities are used in our paper, our results on the finite-time synchronization are novel.