JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (12): 90-98.doi: 10.6040/j.issn.1671-9352.0.2017.627

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A neural network for solving l1-norm problems with constraints

LI Cui-ping, GAO Xing-bao*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, Shaanxi, China
  • Online:2018-12-20 Published:2018-12-18

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Abstract: 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.

Key words: l1-norm problem, neural network, one-layer, stability

CLC Number: 

  • O241.6
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