Article ID Journal Published Year Pages File Type
841499 Nonlinear Analysis: Theory, Methods & Applications 2011 6 Pages PDF
Abstract

We first define the notion of the infimum at infinity of a polynomial function and the notion of stability at infinity near the fiber of the gradient descent system. Then we prove that the gradient descent system is stable at infinity near the fiber of the infimum value at infinity.

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Physical Sciences and Engineering Engineering Engineering (General)
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On the stability of gradient polynomial systems at infinity
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