Temat: reachable sets - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Solution tubes to differential inclusions within a collection of sets
Autorzy:: Quincampoix, M.
Veliov, V.
Powiązania:: https://bibliotekanauki.pl/articles/206199.pdf
Data publikacji:: 2002
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: estymacja deterministyczna
system niepewny
system sterowania
control systems
deterministic estimation
differential inclusions
reachable sets
uncertain systems
Opis:: This paper develops the theory of solution tubes to differential inclusions (uncertain systems) within a prescribed collection of sets. The notion is defined as a minimal invariant tube with values in the collection. Under certain requirements for the collection we prove existence and Lipschitz-like stability of the solution tubes. The theory is relevant to problems of systems estimation in the context of control or differential games.
Źródło:: Control and Cybernetics; 2002, 31, 3; 847-862
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Skocz do pozycji: 2.

Tytuł:: Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms
Autorzy:: Lorenz, Thomas
Powiązania:: https://bibliotekanauki.pl/articles/729470.pdf
Data publikacji:: 2008
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: mutational equations
quasidifferential equations
funnel equations
nonlocal geometric evolutions
reachable sets of differential inclusions
sets of positive erosion
sets of positive reach
Opis:: Similarly to quasidifferential equations of Panasyuk, the so-called mutational equations of Aubin provide a generalization of ordinary differential equations to locally compact metric spaces. Here we present their extension to a nonempty set with a possibly nonsymmetric distance. In spite of lacking any linear structures, a distribution-like approach leads to so-called right-hand forward solutions.
These extensions are mainly motivated by compact subsets of the Euclidean space whose evolution is determined by the nonlocal properties of both the current set and the normal cones at its topological boundary. Indeed, simple deformations such as isotropic expansions exemplify that topological boundaries do not have to evolve continuously in time and thus Aubin's original concept cannot be applied directly. Here neither regularity assumptions about the boundaries nor the inclusion principle are required. The regularity of compact reachable sets of differential inclusions is studied extensively instead.
This example of nonlocal set evolutions in the Euclidean space serves as an introductory motivation for extending ordinary differential equations (and evolution equations) beyond the traditional border of vector spaces - and for combining it with other examples in systems.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2008, 28, 1; 15-73
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Informacja

Wyszukujesz frazę "reachable sets" wg kryterium: Temat

Źródło danych

Dostawca treści

Kolekcja

Rok wydania

Wydawca

Temat

Autor

Typ dokumentu

Język