Results 11 to 20 of about 289 (31)

Null controllability for a degenerate population model in divergence form via Carleman estimates

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
doaj   +1 more source

Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients

open access: yesAdvances in Nonlinear Analysis, 2017
We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with degeneracy and singularity occurring in the interior of the spatial domain.
Fragnelli Genni, Mugnai Dimitri
doaj   +1 more source

Moving and oblique observations of beams and plates [PDF]

open access: yes, 2019
We study the observability of the one-dimensional Schr{\"o}dinger equation and of the beam and plate equations by moving or oblique observations. Applying different versions and adaptations of Ingham's theorem on nonharmonic Fourier series, we obtain ...
Jaming, Philippe, Komornik, Vilmos
core   +2 more sources

Empirical balanced truncation of nonlinear systems

open access: yes, 2006
Novel constructions of empirical controllability and observability gramians for nonlinear systems for subsequent use in a balanced truncation style of model reduction are proposed.
Condon, Marissa, Ivanov, Rossen I.
core   +1 more source

On the Existence of a Kazantzis-Kravaris/Luenberger Observer [PDF]

open access: yes, 2006
We state sufficient conditions for the existence, on a given open set, of the extension, to nonlinear systems, of the Luenberger observer as it has been proposed by Kazantzis and Kravaris.
Boothby William   +4 more
core   +5 more sources

Observability of rectangular membranes and plates on small sets

open access: yes, 2013
Since the works of Haraux and Jaffard we know that rectangular plates may be observed by subregions not satisfying the geometrical control condition. We improve these results by observing only on an arbitrarily short segment inside the domain.
Komornik, Vilmos, Loreti, Paola
core   +1 more source

Observability on the classes of non-nilpotent solvable three-dimensional Lie groups

open access: yesOpen Mathematics
In control theory, researchers need to understand a system’s local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space defined by an ...
Ayala Victor   +2 more
doaj   +1 more source

Backward Linear Control Systems on Time Scales

open access: yes, 2010
We show how a linear control systems theory for the backward nabla differential operator on an arbitrary time scale can be obtained via Caputo's duality. More precisely, we consider linear control systems with outputs defined with respect to the backward
Pawluszewicz, Ewa, Torres, Delfim F. M.
core   +1 more source

Logarithmic stability in determining two coefficients in a dissipative wave equation. Extensions to clamped Euler-Bernoulli beam and heat equations

open access: yes, 2015
We are concerned with the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. We establish stability estimates of logarithmic type when the measurements are given by the
Ammari, Kaïs, Choulli, Mourad
core   +1 more source

On the Dynamics of Dengue Virus type 2 with Residence Times and Vertical Transmission

open access: yes, 2016
A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modeled via a Lagrangian approach.
Bichara, Derdei   +4 more
core   +2 more sources

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