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ArticleOriginal scientific text

Title

An Invariance Problem for Control Systems with Deterministic Uncertainty

Authors 1, 2

Affiliations

  1. Institute of Mathematics, University of N. Copernicus, ul. Chopina 12/18, 87100 Toruń, Poland
  2. Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze, Via di S. Marta 3, 50139 Firenze, Italy

Abstract

This paper deals with a class of nonlinear control systems in Rn in presence of deterministic uncertainty. The uncertainty is modelled by a multivalued map F with nonempty, closed, convex values. Given a nonempty closed set K⊂Rn from a suitable class, which includes the convex sets, we solve the problem of finding a state feedback ū(t,x) in such a way that K is invariant under any system dynamics f. As a system dynamics we consider any continuous selection of the uncertain controlled dynamics F.

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Banach Center Publications
1996/35/1
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Pages:
193-205
Main language of publication
English
Published
1996
Exact and natural sciences