Results 11 to 20 of about 312 (52)
Advances 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
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A hyperbolic system and the cost of null controllability for the Stokes system [PDF]
, 2014 This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method we show that the cost of driving the Stokes system to rest at time T is of order e^C/T when T -->0^+,i.e., the same order as
Chaves-Silva, F. W.
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On the Existence of a Kazantzis-Kravaris/Luenberger Observer [PDF]
, 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
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Moving and oblique observations of beams and plates [PDF]
, 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
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Empirical balanced truncation of nonlinear systems
, 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.
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Sufficient criteria and sharp geometric conditions for observability in Banach spaces
, 2020 Let $X,Y$ be Banach spaces, $(S_t)_{t \geq 0}$ a $C_0$-semigroup on $X$, $-A$ the corresponding infinitesimal generator on $X$, $C$ a bounded linear operator from $X$ to $Y$, and $T > 0$. We consider the system \[ \dot{x}(t) = -Ax(t), \quad y(t) = Cx(t) \
Gallaun, Dennis +2 more
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Observability on the classes of non-nilpotent solvable three-dimensional Lie groups
Open MathematicsIn 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
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Trace and observability inequalities for Laplace eigenfunctions on the torus
Forum of Mathematics, SigmaWe investigate trace and observability inequalities for Laplace eigenfunctions on the d-dimensional torus $\mathbb {T}^d$ , with respect to arbitrary Borel measures $\mu $ .
Nicolas Burq +3 more
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Backward Linear Control Systems on Time Scales
, 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.
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Observability of rectangular membranes and plates on small sets
, 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
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