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求解二次规划问题的离散时间神经网络的收敛性分析

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Translated title of the contributionCONVERGENCE ANALYSIS OF DISCRETE-TIME NEURAL NETWORK FOR SOLVING QUADRATIC PROGRAMMING PROBLEMS
<mark>Journal publication date</mark>30/11/2012
<mark>Journal</mark>Journal of Systems Science and Mathematical Sciences
Issue number11
Volume32
Number of pages11
Pages (from-to)1343-1353
Publication StatusPublished
<mark>Original language</mark>Chinese (Simplified)

Abstract

The convergence property of discrete-time neural network for quadratic programming is analyzed. By choosing a proper Lyapunov function, a sufficient ondition for global convergence is obtained. The convergence rate under the condition is also investigated through a in-depth discussion about full-row-rank inequality constraint left matrix condition nd non-full-row-rank inequality constraint left matrix condition, respectively, and the exponential convergence property for both full-row rank and non-full-row rank inequality constraint left matrix conditions under the mentioned sufficient condition is proved. Simulation result
verifies the validity of the theoretical results obtained in this paper.
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