Results 1 to 10 of about 450 (154)
Robust Distributed Observers for Simultaneous State and Fault Estimation over Sensor Networks [PDF]
SensorsThis paper focuses on simultaneous estimation of states and faults for a linear time-invariant (LTI) system observed by sensor networks. Each sensor node is equipped with an observer, which uses only local measurements and local interaction with ...
Dingguo Liang +3 more
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Observability inequalities for degenerate transport equations [PDF]
Journal of Evolution Equations, 2021 In this paper we prove an observability inequality for a degenerate transport equation. First we introduce a local in time Carleman estimate for the degenerate equation, then we apply it to obtain a global in time observability inequality by using also an energy estimate.
Hiroshi Takase, Giuseppe Floridia
exaly +4 more sources
Controllability of a Family of Nonlinear Population Dynamics Models
International Journal of Mathematics and Mathematical Sciences, 2021 Considering a nonlinear dynamical system, we study the nonlinear infinite-dimensional system obtained by grafting an operator A and an age structure. This system is such that the nonlinearity is at the level of births.
Yacouba Simporé
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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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Null controllability of a coupled model in population dynamics [PDF]
Mathematica Bohemica, 2023 We are concerned with the null controllability of a linear coupled population dynamics system or the so-called prey-predator model with Holling type I functional response of predator wherein both equations are structured in age and space.
Younes Echarroudi
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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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Weak damping for the Korteweg-de Vries equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 For more than 20 years, the Korteweg–de Vries equation has been intensively explored from the mathematical point of view. Regarding control theory, when adding an internal force term in this equation, it is well known that the Korteweg–de Vries equation ...
Roberto de A. Capistrano Filho
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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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Observability and uniqueness theorem for a coupled hyperbolic system
International Journal of Mathematics and Mathematical Sciences, 2000 We deal with the inverse inequality for a coupled hyperbolic system with dissipation. The inverse inequality is an indispensable inequality that appears in the Hilbert Uniqueness Method (HUM), to establish equivalence of norms which guarantees uniqueness
Boris V. Kapitonov, Joel S. Souza
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Fault Location Observability using Phasor Measurements Units via Semidefinite Programming
IEEE Access, 2016 This paper presents a placement algorithm for fault location observability using phasor measurement units (PMUs) in the presence or absence of zero injection buses.
Theodoros A. Alexopoulos +2 more
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