Autor: Nistri, Paolo - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: An Invariance Problem for Control Systems with Deterministic Uncertainty
Autorzy:: Górniewicz, Lech
Nistri, Paolo
Powiązania:: https://bibliotekanauki.pl/articles/1358987.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:: 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.
Źródło:: Banach Center Publications; 1996, 35, 1; 193-205
0137-6934
Pojawia się w:: Banach Center Publications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
Autorzy:: Gudovich, Anastasie
Kamenski, Mikhail
Nistri, Paolo
Powiązania:: https://bibliotekanauki.pl/articles/729318.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: singular perturbations
differential inclusions
analytic semigroups
multivalued compact operators
Lipschitz selections
Opis:: We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset $Z_L(ε)$ of the solution set of the singularly perturbed system. This subset is the set of the Hölder continuous solutions defined in [0,d], d > 0 with prescribed exponent and constant L. We show that $Z_L(ε)$ is uppersemicontinuous at ε = 0 in the C[0,d]×C[δ,d] topology for any δ ∈ (0,d].
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 207-234
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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