Temat: Generalized derivative - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: ℎ-Stability of set differential equations
Autorzy:: Boukthir, Sihem
Ghanmi, Boulbaba
Basdouri, Imed
Ichalal, Dalil
Lerbet, Jean
Powiązania:: https://bibliotekanauki.pl/articles/27324010.pdf
Data publikacji:: 2023
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:: ℎ-stability
Lyapunov theory
set-valued differential
generalized Hukuhara derivative
perturbed system
cascaded systems
Opis:: In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory. Then, based on the obtained results, we study the ℎ-stability of perturbed and cascaded systems. Finally, an example illustrates the proposed theorems.
Źródło:: Archives of Control Sciences; 2023, 33, 4; 761--788
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: On the constrained and unconstrained controllability of semilinear Hilfer fractional systems
Autorzy:: Sikora, Beata
Powiązania:: https://bibliotekanauki.pl/articles/27312002.pdf
Data publikacji:: 2023
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:: Hilfer fractional derivative
fractional systems
semilinear control systems
nonautonomous systems
Rothe's fixed point theorem
generalized Darbo fixed point theorem
Opis:: In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed. The formula for a solution of the considered systems is presented and derived using the Laplace transform. Bounded nonlinear function f depending on a state and controls is used. New sufficient conditions for controllability without constraints are formulated and proved using Rothe’s fixed point theorem and the generalized Darbo fixed point theorem. Moreover, the stability property is used to formulate constrained controllability criteria. An illustrative example is presented to give the reader an idea of the theoretical results obtained. A transient process in an electrical circuit described by a system of Hilfer type fractional differential equations is proposed as a possible application of the study.
Źródło:: Archives of Control Sciences; 2023, 33, 1; 155--178
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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