Results 11 to 20 of about 507,176 (278)
, 2023 An issue with one of the proofs in the article affects the final ...
Liu, Yuanhang, Wu, Weijia, Yang, Donghui
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Observability inequality and decay rate for wave equations with nonlinear boundary conditions
Electronic Journal of Differential Equations, 2017 We study a class of wave propagation problems concerning the nonlinearity of dynamic evolution for boundary material. We establish an observability inequality for the related linear system, and make a connection between the linear system and the ...
Yuan Gao, Jin Liang, Ti-Jun Xiao
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Observability inequality for the spatial discretization of weakly coupled 2d-wave equations
Demonstratio MathematicaThis study addresses the problem of indirect boundary observability for a spatial semi-discretization of weakly coupled two-dimensional wave equations. The discretization is performed using a finite difference method on a uniform mesh. More specifically,
Beljadid Lahcen +2 more
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Inverse observability inequalities for integrodifferential equations in square domains [PDF]
Evolution Equations and Control Theory, 2018 In this paper we will consider oscillations of square viscoelastic membranes by adding to the wave equation another term, which takes into account the memory. To this end, we will study a class of integrodifferential equations in square domains. By using accurate estimates of the spectral properties of the integrodifferential operator, we will prove an
Loreti, Paola, Sforza, Daniela
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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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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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Sharp Observability Inequalities for Hyperbolic Systems with Potentials
ESAIM: Control, Optimisation and Calculus of Variations, 2023 This paper is devoted to a sharp internal/boundary observability inequality for a hyperbolic system with a zero order potential. For this purpose, we first establish a new Carleman estimate for hyperbolic operator inH1-norm. Based on this Carleman estimate and a modified auxiliary optimal control problem, we obtain Carleman estimate for hyperbolic ...
Fu, Xiaoyu, Liao, Zhonghua, Lü, Qi
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Incremental verification of co-observability in discrete-event systems [PDF]
, 2014 Existing strategies for verifying co-observability, one of the properties that must be satisfied for synthesizing solutions to decentralized supervisory control problems, require the construction of the complete system model.
Malik, Robi +7 more
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