Lack of convexity for tangent cones of needle variations

Rosa Maria Bianchini; Matthias Kawski

Lack of convexity for tangent cones of needle variations

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

Abstract

A carefully constructed sequence of simple systems which show that even for very benign systems, the usual conditions that needle variations do not collide are essential for guaranteeing convexity of the tangent objects, is presented. In turn, this is essential for practical applicability to decide optimality.

Original language	English (US)
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Pages	1916-1921
Number of pages	6
Volume	2
State	Published - 2002
Event	41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: Dec 10 2002 → Dec 13 2002

Other

Other	41st IEEE Conference on Decision and Control
Country/Territory	United States
City	Las Vegas, NV
Period	12/10/02 → 12/13/02

Keywords

Control variations
Convexity
Nonlinear controllability
Optimality
Tangent cones

ASJC Scopus subject areas

Chemical Health and Safety
Control and Systems Engineering
Safety, Risk, Reliability and Quality

Cite this

@inproceedings{1575ad3cf8fc48ffaffa22053e295e01,

title = "Lack of convexity for tangent cones of needle variations",

abstract = "A carefully constructed sequence of simple systems which show that even for very benign systems, the usual conditions that needle variations do not collide are essential for guaranteeing convexity of the tangent objects, is presented. In turn, this is essential for practical applicability to decide optimality.",

keywords = "Control variations, Convexity, Nonlinear controllability, Optimality, Tangent cones",

author = "Bianchini, {Rosa Maria} and Matthias Kawski",

year = "2002",

language = "English (US)",

volume = "2",

pages = "1916--1921",

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

note = "41st IEEE Conference on Decision and Control ; Conference date: 10-12-2002 Through 13-12-2002",

}

TY - GEN

T1 - Lack of convexity for tangent cones of needle variations

AU - Bianchini, Rosa Maria

AU - Kawski, Matthias

PY - 2002

Y1 - 2002

N2 - A carefully constructed sequence of simple systems which show that even for very benign systems, the usual conditions that needle variations do not collide are essential for guaranteeing convexity of the tangent objects, is presented. In turn, this is essential for practical applicability to decide optimality.

AB - A carefully constructed sequence of simple systems which show that even for very benign systems, the usual conditions that needle variations do not collide are essential for guaranteeing convexity of the tangent objects, is presented. In turn, this is essential for practical applicability to decide optimality.

KW - Control variations

KW - Convexity

KW - Nonlinear controllability

KW - Optimality

KW - Tangent cones

UR - http://www.scopus.com/inward/record.url?scp=0036996333&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036996333&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0036996333

VL - 2

SP - 1916

EP - 1921

BT - Proceedings of the IEEE Conference on Decision and Control

T2 - 41st IEEE Conference on Decision and Control

Y2 - 10 December 2002 through 13 December 2002

ER -

Lack of convexity for tangent cones of needle variations

Abstract

Other

Keywords

ASJC Scopus subject areas

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Cite this