@Article{JMS-50-4, author = {Yajing, Wang and Zhenkun, Huang}, title = {An Analysis of Complex-Valued Periodic Solution of a Delayed Discontinuous Neural Networks}, journal = {Journal of Mathematical Study}, year = {2017}, volume = {50}, number = {4}, pages = {323--338}, abstract = {

In this paper, we investigate global stability of complex-valued periodic solution of a delayed discontinuous neural networks. By employing discontinuous, nondecreasing and bounded properties of activation, we analyzed exponential stability of state trajectory and $L^1$−exponential convergence of output solution for complex-valued delayed networks. Meanwhile, we applied to complex-valued discontinuous neural networks with periodic coefficients. The new results depend on $M$−matrices of real and imaginary parts and hence can include ones of real-valued neural networks. An illustrative example is given to show the effectiveness of our theoretical results.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v50n4.17.03}, url = {https://global-sci.com/article/87780/an-analysis-of-complex-valued-periodic-solution-of-a-delayed-discontinuous-neural-networks} }