# An Invariance Problem for Control Systems with Deterministic Uncertainty

Banach Center Publications (1996)

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

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topGórniewicz, 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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