Results 11 to 20 of about 398,077 (155)
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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Boundary controllability and observability of coupled wave equations with memory [PDF]
Electronic Journal of Differential Equations, 2018 In this article we consider the controllability for a system of coupled wave equations with memory. We reduce the control problem to a moment problem which can be solved by showing the Riesz property of the associated families of functions.
Ti-Jun Xiao, Zhe Xu
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The observability inequalities for heat equations with potentials
ESAIM: Control, Optimisation and Calculus of VariationsThis paper is mainly concerned with the observability inequalities for heat equations with time-dependent Lipschitz potentials. The observability inequality for heat equations asserts that the total energy of a solution is bounded above by the energy localized in a subdomain with an observability constant. For a bounded measurable potential V = V (x, t)
Jiuyi Zhu, Jinping Zhuge
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Non-linear observability of activated sludge process models [PDF]
, 2005 The main contribution of this paper is to present a non-linear observability analysis method of Activated Sludge Models (ASM), which are used in many control applications.
Benazzi, F., Katebi, M.R.
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Observability inequalities and measurable sets [PDF]
Journal of the European Mathematical Society, 2014 This paper presents two observability inequalities for the heat equation over \Omega\times (0,T) . In the first one, the observation is from a subset of positive measure in \Omega\times (0,T)
Apraiz, J. +3 more
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Spectral inequalities for Schrödinger operators and parabolic observability [PDF]
, 2022 This work examines the observability of abstract Cauchy problems corresponding to generators of a strongly continuous operator semigroup. A special focus is put on the investigation of sufficient conditions on the sensor sets that ensure observability ...
Dicke, Alexander
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Observability inequalities for the backward stochastic evolution equations and their applications [PDF]
, 2023 The present article delves into the investigation of observability inequalities pertaining to backward stochastic evolution equations. We employ a combination of spectral inequalities, interpolation inequalities, and the telegraph series method as our ...
Wu, Weijia +3 more
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Characterization by observability inequalities of controllability and stabilization properties [PDF]
, 2020 International audienceGiven a linear control system in a Hilbert space with a bounded control operator, we establish a characterization of exponential stabilizability in terms of an observability inequality. Such dual characterizations are well known for
Trélat, Emmanuel +2 more
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Inequalities for complementarity in observed statistics
Physics Letters A, 2022 We provide an analysis of complementarity via a suitably designed classicalmodel that leads to a set of inequalities that can be tested by means ofunsharp measurements. We show that, if the measured statistics does notfulfill the inequalities it is equivalent to the lack of a joint distribution for theincompatible observables.
Elisa Masa, Laura Ares, Alfredo Luis
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An observation on the Turán–Nazarov inequality
Studia Mathematica, 2013 The main observation of this note is that the Lebesgue measure $\mu$ in the Tur\'an-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant $\omega \ge \mu$, which can be effectively estimated in terms of the metric entropy of a set, and may be nonzero for discrete and even finite sets.
Friedland, Omer, Yomdin, Yosef
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