TY - JOUR
T1 - An Analysis of Complex-Valued Periodic Solution of a Delayed Discontinuous Neural Networks
AU - Wang , Yajing
AU - Huang , Zhenkun
JO - Journal of Mathematical Study
VL - 4
SP - 323
EP - 338
PY - 2018
DA - 2018/04
SN - 50
DO - http://doi.org/10.4208/jms.v50n4.17.03
UR - https://global-sci.org/intro/article_detail/jms/11321.html
KW - Complex-valued, Periodic solutions, Global exponential stability, Discontinuous neural networks.
AB - <p style="text-align: justify;">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.</p>