The bang–bang theorem via Baire category: a dual approach

Alberto Bressan, Marco Mazzola, Khai T. Nguyen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The paper develops a new approach to the classical bang–bang theorem in linear control theory, based on Baire category. Among all controls which steer the system from the origin to a given point x¯ , we consider those which minimize an auxiliary linear functional ϕ. For all ϕ in a residual set, we show that the minimizing control is unique and takes values within a set of extreme points.

Original languageEnglish (US)
Article number46
JournalNonlinear Differential Equations and Applications
Volume23
Issue number4
DOIs
StatePublished - Aug 1 2016

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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