# Singular perturbations for systems of differential inclusions

Banach Center Publications (1995)

- Volume: 32, Issue: 1, page 341-348
- ISSN: 0137-6934

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topQuincampoix, Marc. "Singular perturbations for systems of differential inclusions." Banach Center Publications 32.1 (1995): 341-348. <http://eudml.org/doc/262848>.

@article{Quincampoix1995,

abstract = {We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.},

author = {Quincampoix, Marc},

journal = {Banach Center Publications},

keywords = {system of two differential inclusions; singular perturbation; convergence; contingent derivative; perturbed inclusion},

language = {eng},

number = {1},

pages = {341-348},

title = {Singular perturbations for systems of differential inclusions},

url = {http://eudml.org/doc/262848},

volume = {32},

year = {1995},

}

TY - JOUR

AU - Quincampoix, Marc

TI - Singular perturbations for systems of differential inclusions

JO - Banach Center Publications

PY - 1995

VL - 32

IS - 1

SP - 341

EP - 348

AB - We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.

LA - eng

KW - system of two differential inclusions; singular perturbation; convergence; contingent derivative; perturbed inclusion

UR - http://eudml.org/doc/262848

ER -

## References

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- [14] H. Tuan, Asymptotical solution of differential systems with multivalued right-hand side, Ph.D. Thesis, University of Odessa, 1990, in Russian.
- [15] M. Quincampoix, Contribution à l'étude des perturbations singulières pour les systèmes contrôlés et les inclusions différentielles, C. R. Acad. Sci. Paris Sér. I 316 (1993), 133-138. Zbl0769.93055
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