An Invariance Problem for Control Systems with Deterministic Uncertainty

Górniewicz, Lech; Nistri, Paolo

Banach Center Publications, Tome 37 (1996), p. 193-205 / Harvested from The Polish Digital Mathematics Library

Résumé

This paper deals with a class of nonlinear control systems in $R^{n}$ in presence of deterministic uncertainty. The uncertainty is modelled by a multivalued map F with nonempty, closed, convex values. Given a nonempty closed set $K \subset R^{n}$ 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.

Publié le : 1996-01-01

Zbl 0867.93041

EUDML-ID : urn:eudml:doc:251319

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     author = {G\'orniewicz, Lech and Nistri, Paolo},
     title = {An Invariance Problem for Control Systems with Deterministic Uncertainty},
     journal = {Banach Center Publications},
     volume = {37},
     year = {1996},
     pages = {193-205},
     zbl = {0867.93041},
     language = {en},
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Górniewicz, Lech; Nistri, Paolo. An Invariance Problem for Control Systems with Deterministic Uncertainty. Banach Center Publications, Tome 37 (1996) pp. 193-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv35i1p193bwm/

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