Stability analysis for a delayed neural network to linear variational inequalities
CHEN Feng-ying, GAO Xing-bao*
(College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)
Abstract:
A delayed projection neural network for the linear variational inequality is considered. Based on the theory of functional differential equations and linear matrix inequality (LMI) method, the existence and uniqueness of the solution of the model is proved and a delay-dependent criteria for globally exponential stability of this network is presented by constructing appropriate Liapunov functionals. Meanwhile, the global asymptotic stability of this network with free delay are also shown under mild conditions.Finally, the performance of the model and the obtained results are illustrated by some numerical examples.
KeyWords:
linear variational inequality; delayed projection neural network; globally exponential stability
