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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2011 Issue 4, Pages 57–70 (Mi at1689)

This article is cited in 16 papers

Nonlinear Systems

Degenerate problems of optimal control. II

V. I. Gurmana, Ni Ming Kangb

a Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia
b East China Normal University, Shanghai, China

Abstract: The paper is the second part of the review of the results obtained by the special theory of the degenerate problems of optimal control and its applications, including the newest ones. Consideration was given to the methods based on the rearrangement of the degenerate problems in the smaller-order regular derivative problems, the main types of solutions of the derivative problems, and the issues of their realization as the generalized solutions of the original problems. The generalized conditions for their optimality were derived. Examples, both methodological and applied, were presented to demonstrate the efficiency of these methods.

Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 18.03.2010


 English version:
Automation and Remote Control, 2011, 72:4, 727–739

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