Nonsmooth approximate maximum principle in optimal control

Boris S. Mordukhovich; Ilya Shvartsman

doi:10.1109/CDC.2011.6160549

Nonsmooth approximate maximum principle in optimal control

Boris S. Mordukhovich
, Ilya Shvartsman

School of Science, Engineering & Technology (Harrisburg)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

In this paper we investigate stability of the Pontryagin maximum principle with respect to time discretization for optimal control problems with convex cost function and endpoint constraints. A generalization of the so-called approximate maximum principle from smooth to nonsmooth systems is obtained.

Original language	English (US)
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7331-7333
Number of pages	3
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6160549
State	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: Dec 12 2011 → Dec 15 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 12/15/11

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2011.6160549

Cite this

Mordukhovich, B. S., & Shvartsman, I. (2011). Nonsmooth approximate maximum principle in optimal control. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 7331-7333). Article 6160549 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6160549

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title = "Nonsmooth approximate maximum principle in optimal control",

abstract = "In this paper we investigate stability of the Pontryagin maximum principle with respect to time discretization for optimal control problems with convex cost function and endpoint constraints. A generalization of the so-called approximate maximum principle from smooth to nonsmooth systems is obtained.",

author = "Mordukhovich, \{Boris S.\} and Ilya Shvartsman",

year = "2011",

doi = "10.1109/CDC.2011.6160549",

language = "English (US)",

isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "7331--7333",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

address = "United States",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Mordukhovich, BS & Shvartsman, I 2011, Nonsmooth approximate maximum principle in optimal control. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160549, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 7331-7333, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6160549

Nonsmooth approximate maximum principle in optimal control. / Mordukhovich, Boris S.; Shvartsman, Ilya.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 7331-7333 6160549 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

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AU - Shvartsman, Ilya

PY - 2011

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N2 - In this paper we investigate stability of the Pontryagin maximum principle with respect to time discretization for optimal control problems with convex cost function and endpoint constraints. A generalization of the so-called approximate maximum principle from smooth to nonsmooth systems is obtained.

AB - In this paper we investigate stability of the Pontryagin maximum principle with respect to time discretization for optimal control problems with convex cost function and endpoint constraints. A generalization of the so-called approximate maximum principle from smooth to nonsmooth systems is obtained.

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DO - 10.1109/CDC.2011.6160549

M3 - Conference contribution

AN - SCOPUS:84860700043

SN - 9781612848006

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 7331

EP - 7333

BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

ER -

Nonsmooth approximate maximum principle in optimal control

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