%A LI Cui-ping, GAO Xing-bao %T A neural network for solving l1-norm problems with constraints %0 Journal Article %D 2018 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R 10.6040/j.issn.1671-9352.0.2017.627 %P 90-98 %V 53 %N 12 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_3009.shtml} %8 2018-12-20 %X This paper presents a one-layer neural network model for solving l1-norm problems with constraints. Compared with some existing neural network models, the proposed model needs fewer neurons and has a simpler structure. The stability and convergence of the proposed model are proved by introducing a Lyapunov function. Some simulation examples are used to illustrate its validity and transient behaviors.