Global exponential system of projection neural networks for system of generalized variational inequalities and related nonlinear minimax problems

Authors:
Qingshan Liu;Yongqing Yang
Affiliations:
School of Automation, Southeast University, Nanjing 210096, China;School of Science, Jiangnan University, Wuxi 214122, China
Venue:
Neurocomputing
Year:
2010

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Abstract

This paper presents a system of projection neural networks (SPNNs) for solving the system of generalized variational inequalities (SGVIs). The SPNNs includes the projection neural network as its special case. Based on the Lyapunov method, the global exponential stability of the SPNNs is derived and proved under some mild conditions. In addition, simulation results on numerical examples show the effectiveness and performance of the proposed SPNNs.