Lack of convexity for tangent cones of needle variations

Rosa Maria Bianchini, Matthias Kawski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

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 languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages1916-1921
Number of pages6
Volume2
Publication statusPublished - 2002
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: Dec 10 2002Dec 13 2002

Other

Other41st IEEE Conference on Decision and Control
CountryUnited States
CityLas Vegas, NV
Period12/10/0212/13/02

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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

Bianchini, R. M., & Kawski, M. (2002). Lack of convexity for tangent cones of needle variations. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1916-1921)