Title:

Second order conditions in stability analysis for state constrained optimal control

Subtitle:

Raport Badawczy = Research Report ; RB/33/2006

Creator:

Malanowski, Kazimierz : Autor

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2006

Description:

8 pages ; 21 cm ; Bibliography p. 7-8

Type of object:

Book/Chapter

Subject and Keywords:

Optymalizacja parametryczna ; Nonlinear odes ; State constraints ; Second order sufficient conditions ; Lipschitz stability of the solutions ; Parametric optimal control ; Optymalna kontrola parametryczna

Abstract:

The paper presents an outline of the stability results, for state-constrained optimal control problems, recently obtained in [8-10]. The pricipal novelty of the results is a weakening of the second order sufficient optimality conditions, under which the solutions and the Lagrange multipliers are locally Lipschitz continuous functions of the parameter. The conditions are weakened by taking into account strongly active state constraints.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2006-33

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