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A Stability Theory in Nonlinear Programming
Authors:ZHOU Zong-fang  SHI Yong
Affiliation:1. Management College, University of Electronic Science and Technology, Chengdu 610054, P.R.China
2. University of Nebraska at Omaha, NE 68182,USA
Abstract:
We propose a new method for finding the local optimal points of the constrained nonlinear programming by Ordinary Differential Equations (ODE) , and prove asymptotic stability of the singular points of partial variables in this paper. The condition of overall uniform, asymptotic stability is also given.
Keywords:constrained nonlinear programming  ordinary differential equations  asymptotic stability  partial variables
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