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Density and Cost in Non-linear Control

På svenska

Author

Summary, in English

The duality between cost and flow is well known and carefully studiedin several scientific fields, including economics and fluid mechanics.The purpose of this paper is to show how this duality relates to thebasic concepts of nonlinear control theory for ordinary differentialequations. A duality theorem for optimal control is derived using theHahn-Banach theorem. This puts focus on convexity aspects in controlsynthesis and the recent theory of almost global stability. As aclosely related result, it is shown that existence of a densityfunction is both necessary and sufficient for almost global stabilityin a nonlinear system.

Publishing year

2003

Language

English

Pages

285-295

Publication/Series

European Journal of Control

Volume

9

Issue

2--3

Document type

Journal article

Publisher

Lavoisier

Topic

  • Control Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 1435-5671