Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: null controllability

Sortuj według:

Ogranicz wyniki do:

Controllability of degenerate and singular parabolic problems: the double strong case with Neumann boundary conditionsControllability of degenerate and singular parabolic problems: the double strong case with Neumann boundary conditions

Fragnelli Genni, Mugnai Dimitri

Opuscula Mathematica

2019

Vol. 39, no. 2

207--225

We prove a null controllability result for a parabolic problem with Neumann boundary conditions. We consider non smooth coefficients in presence of a strongly singular potential and a strongly degenerate coefficient, both vanishing at an interior point. This paper concludes the study of the Neumann case.

Null controllability from the exterior of a one-dimensional nonlocal heat equation

Warma Mahamadi, Zamorano Sebastián

Control and Cybernetics

2019

Vol. 48, No. 3

417--438

We consider the null controllability problem from the exterior for the one dimensional heat equation on the interval (−1, 1), associated with the fractional Laplace operator (−∂2 x)s, where 0 < s < 1. We show that there is a control function, which is localized in a nonempty open set O ⊂ (R \ (−1, 1)), that is, at the exterior of the interval (−1, 1), such that the system is null controllable at any time T > 0 if and only if 1/2 < s < 1.

Controllability of a class of infinite dimensional systems with age structure

Maity Debayan, Tucsnak Marius, Zuazua Enrique

Control and Cybernetics

2019

Vol. 48, No. 2

231--260

Given a linear dynamical system, we investigate the linear infinite dimensional system obtained by grafting an age structure. Such systems appear essentially in population dynamics with age structure when phenomena like spatial diffusion or transport are also taken into consideration. We first show that the new system preserves some of the wellposedness properties of the initial one. Our main result asserts that if the initial system is null controllable in a time small enough then the structured system is also null controllable in a time depending on the various involved parameters.

Mechanical and thermal null controllability of thermoelastic plates and singularity of the associated mimimal energy function

Avalos G., Lasiecka I.

Control and Cybernetics

2003

Vol. 32, no 3

473-490

The null controllability problem is considered for 2-D thermoelastic plates under hinged mechanical boundary conditions. The resulting partial differential equation system generates an analytic semigroup on the space of finite energy. Consequently, because the thermoelastic system is associated with an infinite speed of propagation, the null controllability question is a suitable one for contemplation. It is shown that all finite energy states can be driven to zero by means of L^2(Q)-mechanical or thermal controls. In addition, the singularity of the minimal energy function, as T | 0, is also investigated. Ultimately, we establish the optimal blowup rate O(T-5/2) for this function, in the case one control (either mechanical or thermal ) is acting upon the system and O(T-5/2). in the case of two controls (thermal and mechanical). This rate of singularity is optimal and in fact the same as obtained by considering finite dimensional truncations of the thermoelastic PDE.