Second-order optimality conditions for singular pontryagin local minimizers

Ilya Shvartsman; Zuhra Mingaleeva

doi:10.1080/01630563.2014.908210

Second-order optimality conditions for singular pontryagin local minimizers

Ilya Shvartsman
, Zuhra Mingaleeva

School of Science, Engineering & Technology (Harrisburg)

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

3 Scopus citations

Abstract

In this article, we use the method of finite-dimensional approximations to derive second-order necessary optimality conditions for singular Pontryagin local minimizers for an unconstrained nonlinear Mayer problem.

Original language	English (US)
Pages (from-to)	1245-1257
Number of pages	13
Journal	Numerical Functional Analysis and Optimization
Volume	35
Issue number	7-9
DOIs	https://doi.org/10.1080/01630563.2014.908210
State	Published - Jul 3 2014

All Science Journal Classification (ASJC) codes

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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10.1080/01630563.2014.908210

Cite this

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title = "Second-order optimality conditions for singular pontryagin local minimizers",

abstract = "In this article, we use the method of finite-dimensional approximations to derive second-order necessary optimality conditions for singular Pontryagin local minimizers for an unconstrained nonlinear Mayer problem.",

author = "Ilya Shvartsman and Zuhra Mingaleeva",

note = "Funding Information: I. Shvartsman was supported by a Penn State Harrisburg Research Council Grant. Z. Mingaleeva was supported by RFBR grant (Project No. 14-01-31185) and by RSF grant (Project No. 14-21-00024).",

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AU - Shvartsman, Ilya

AU - Mingaleeva, Zuhra

N1 - Funding Information: I. Shvartsman was supported by a Penn State Harrisburg Research Council Grant. Z. Mingaleeva was supported by RFBR grant (Project No. 14-01-31185) and by RSF grant (Project No. 14-21-00024).

PY - 2014/7/3

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N2 - In this article, we use the method of finite-dimensional approximations to derive second-order necessary optimality conditions for singular Pontryagin local minimizers for an unconstrained nonlinear Mayer problem.

AB - In this article, we use the method of finite-dimensional approximations to derive second-order necessary optimality conditions for singular Pontryagin local minimizers for an unconstrained nonlinear Mayer problem.

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JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 7-9

ER -

Second-order optimality conditions for singular pontryagin local minimizers

Abstract

All Science Journal Classification (ASJC) codes

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