Title:

Simple Proofs of Second order Necessary Conditions for Broken Extremals

Subtitle:

Raport Badawczy = Research Report ; RB/3/2013

Creator:

Osmolovskii, Nikolai

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2013

Description:

21 pages ; 21 cm ; Bibliography p. 20-21

Subject and Keywords:

Optimal control ; Optymalna kontrola ; Warunek konieczny optymalności ; Necessary optimality conditions

Abstract:

The paper considers optimal control problems with initial-final state equality and inequality constraints and moxed state-control equality constraints given by smooth functions. The mixed constraints satisfy the regularity assumption of linear independence of gradients with respect to the control. Simple proofs of second-order necessary conditions of Pontryagin minimum for broken extremals in these problems are presented.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2013-03

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open