An Invariance Problem for Control Systems with Deterministic Uncertainty

Lech Górniewicz; Paolo Nistri

Banach Center Publications (1996)

  • Volume: 35, Issue: 1, page 193-205
  • ISSN: 0137-6934

Abstract

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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 ⊂ 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.

How to cite

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Górniewicz, Lech, and Nistri, Paolo. "An Invariance Problem for Control Systems with Deterministic Uncertainty." Banach Center Publications 35.1 (1996): 193-205. <http://eudml.org/doc/251319>.

@article{Górniewicz1996,
abstract = {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 $K ⊂ R^n$ 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.},
author = {Górniewicz, Lech, Nistri, Paolo},
journal = {Banach Center Publications},
keywords = {differential inclusion; state feedback; sufficient conditions; invariance problem; Booligand tangent cone},
language = {eng},
number = {1},
pages = {193-205},
title = {An Invariance Problem for Control Systems with Deterministic Uncertainty},
url = {http://eudml.org/doc/251319},
volume = {35},
year = {1996},
}

TY - JOUR
AU - Górniewicz, Lech
AU - Nistri, Paolo
TI - An Invariance Problem for Control Systems with Deterministic Uncertainty
JO - Banach Center Publications
PY - 1996
VL - 35
IS - 1
SP - 193
EP - 205
AB - 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 $K ⊂ R^n$ 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.
LA - eng
KW - differential inclusion; state feedback; sufficient conditions; invariance problem; Booligand tangent cone
UR - http://eudml.org/doc/251319
ER -

References

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