The approximate maximum principle for constrained control systems

Boris S. Mordukhovich; Ilya Shvartsman

doi:10.1109/CDC.2002.1185055

The approximate maximum principle for constrained control systems

Boris S. Mordukhovich, Ilya Shvartsman

School of Science, Engineering & Technology (Harrisburg)

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

1 Scopus citations

Abstract

We consider a sequence of optimal control problems with endpoint constraints and nonsmooth terminal costs for discretized systems. The goal is to obtain necessary optimality conditions in terms of the approximate maximum principle for discrete approximations with no convexity assumptions. We construct several striking examples on the violation of the approximate maximum principle for smooth and nonsmooth problems and then establish this principle in the new super differential form for ordinary and delay systems.

Original language	English (US)
Pages (from-to)	4345-4350
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	4
DOIs	https://doi.org/10.1109/CDC.2002.1185055
State	Published - Jan 1 2002

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2002.1185055

Cite this

@article{386ad56e9f98433fbe665c2784028be9,

title = "The approximate maximum principle for constrained control systems",

abstract = "We consider a sequence of optimal control problems with endpoint constraints and nonsmooth terminal costs for discretized systems. The goal is to obtain necessary optimality conditions in terms of the approximate maximum principle for discrete approximations with no convexity assumptions. We construct several striking examples on the violation of the approximate maximum principle for smooth and nonsmooth problems and then establish this principle in the new super differential form for ordinary and delay systems.",

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

year = "2002",

month = jan,

day = "1",

doi = "10.1109/CDC.2002.1185055",

language = "English (US)",

volume = "4",

pages = "4345--4350",

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

issn = "0191-2216",

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

}

TY - JOUR

T1 - The approximate maximum principle for constrained control systems

AU - Mordukhovich, Boris S.

AU - Shvartsman, Ilya

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We consider a sequence of optimal control problems with endpoint constraints and nonsmooth terminal costs for discretized systems. The goal is to obtain necessary optimality conditions in terms of the approximate maximum principle for discrete approximations with no convexity assumptions. We construct several striking examples on the violation of the approximate maximum principle for smooth and nonsmooth problems and then establish this principle in the new super differential form for ordinary and delay systems.

AB - We consider a sequence of optimal control problems with endpoint constraints and nonsmooth terminal costs for discretized systems. The goal is to obtain necessary optimality conditions in terms of the approximate maximum principle for discrete approximations with no convexity assumptions. We construct several striking examples on the violation of the approximate maximum principle for smooth and nonsmooth problems and then establish this principle in the new super differential form for ordinary and delay systems.

UR - http://www.scopus.com/inward/record.url?scp=0036995150&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036995150&partnerID=8YFLogxK

U2 - 10.1109/CDC.2002.1185055

DO - 10.1109/CDC.2002.1185055

M3 - Article

AN - SCOPUS:0036995150

SN - 0191-2216

VL - 4

SP - 4345

EP - 4350

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

The approximate maximum principle for constrained control systems

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this