Time minimal synthesis with target of codimension one under generic conditions

B. Bonnard; M. Pelletier

ArticleOriginal scientific text

Title

Time minimal synthesis with target of codimension one under generic conditions

Authors ¹, ¹

Affiliations

Département de Mathématiques, Laboratoire de Topologie, Université de Bourgogne, BP 138, 21004 Dijon Cedex, France

Abstract

We consider the problem of constructing the optimal closed loop control in the time minimal control problem, with terminal constraint belonging to a manifold of codimension one, for systems of the form

v ̇ = X + u Y

,

| u | \leq 1

and

v \in R^{2}

or

R^{3}

, under generic assumptions. The analysis is localized near the terminal manifold and is developed to control a class of chemical systems.

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Title

Time minimal synthesis with target of codimension one under generic conditions

Affiliations

Abstract

Bibliography