Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints

A. V. Arutyunov; I. A. Shvartsman; Z. T. Zhukovskaya

doi:10.1016/j.na.2017.03.004

Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints

A. V. Arutyunov
, I. A. Shvartsman
, Z. T. Zhukovskaya

School of Science, Engineering & Technology (Harrisburg)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper we use the method of finite-dimensional approximations to derive the second-order necessary optimality conditions for singular Pontryagin local minimizers in optimal control problems with equality endpoint constraints.

Original language	English (US)
Pages (from-to)	20-43
Number of pages	24
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	157
DOIs	https://doi.org/10.1016/j.na.2017.03.004
State	Published - Jul 1 2017

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.na.2017.03.004

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title = "Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints",

abstract = "In this paper we use the method of finite-dimensional approximations to derive the second-order necessary optimality conditions for singular Pontryagin local minimizers in optimal control problems with equality endpoint constraints.",

author = "Arutyunov, \{A. V.\} and Shvartsman, \{I. A.\} and Zhukovskaya, \{Z. T.\}",

note = "Funding Information: The work was supported by the Ministry of Education and Science of the Russian Federation (the Agreement number 02.a03.21.0008 and Project 1.962.2017). Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

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AU - Arutyunov, A. V.

AU - Shvartsman, I. A.

AU - Zhukovskaya, Z. T.

N1 - Funding Information: The work was supported by the Ministry of Education and Science of the Russian Federation (the Agreement number 02.a03.21.0008 and Project 1.962.2017). Publisher Copyright: © 2017 Elsevier Ltd

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N2 - In this paper we use the method of finite-dimensional approximations to derive the second-order necessary optimality conditions for singular Pontryagin local minimizers in optimal control problems with equality endpoint constraints.

AB - In this paper we use the method of finite-dimensional approximations to derive the second-order necessary optimality conditions for singular Pontryagin local minimizers in optimal control problems with equality endpoint constraints.

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UR - https://www.scopus.com/pages/publications/85016456762#tab=citedBy

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M3 - Article

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EP - 43

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints

Abstract

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