Results 1 to 10 of about 328 (44)
Observability of a string-beams network with many beams
E S A I M: Control, Optimisation and Calculus of Variations, 2023 We prove the direct and inverse observability inequality for a network connecting one string with infinitely many beams, at a common point, in the case where the lengths of the beams are all equal.
Anna Chiara Lai +2 more
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Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid
Comptes rendus. Mathematique, 2021 We consider the controllability of a viscous incompressible fluid modeled by the Navier–Stokes system with a nonlinear viscosity. To prove the controllability to trajectories, we linearize around a trajectory and the corresponding linear system includes ...
S. Guerrero, Takéo Takahashi
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Uniform stabilization for a strongly coupled semilinear/linear system
Advanced Nonlinear Studies, 2022 In this manuscript, we analyze the exponential stability of a strongly coupled semilinear system of Klein-Gordon type, posed in an inhomogeneous medium Ω\Omega , subject to local dampings of different natures distributed around a neighborhood of the ...
Cavalcanti Marcelo M. +4 more
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Distinguishability criteria of conformable hybrid linear systems
Nonlinear Engineering, 2022 We relate this article to the emerging idea of distinguishability of conformable linear hybrid time-invariant control systems. To obtain the necessary and sufficient conditions of α\alpha -distinguishability for fractional cases, we develop the Leibnitz ...
Younus Awais +5 more
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Observability Estimate and State Observation Problems for Stochastic Hyperbolic Equations [PDF]
, 2013 In this paper, we derive a boundary and an internal observability inequality for stochastic hyperbolic equations with nonsmooth lower order terms. The required inequalities are obtained by global Carleman estimate for stochastic hyperbolic equations.
Qi Lu
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Theoretical observers for infinite dimensional skew-symmetric systems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The observer construction has a main importance in the control theory and its applications for the systems of infinite dimension. Even if the system’ state has an infinite dimension, its estimation is given using some physical measures of finite ...
Judicael Deguenon, Barbulescu Alina
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Boundary Value Problems, 2014 This paper is devoted to deriving global Carleman estimate for a one-dimensional linear coupled parabolic system of m equations with bounded variations (BV) diffusion coefficients.
Hichem Ramoul
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Perturbation theory of observable linear systems [PDF]
, 2015 The present work is motivated by the asymptotic control theory for a system of linear oscillators: the problem is to design a common bounded scalar control for damping all oscillators in asymptotically minimal time.
Fedorov, Aleksey, Ovseevich, Alexander
core +1 more source
Observation of vibrating systems at different time instants [PDF]
, 2013 In this paper, we obtain new observability inequalities for the vibrating string. This work was motivated by a recent paper by A. Szij\'art\'o and J. Heged\H{u}s in which the authors ask the question of determining the initial data by only knowing the ...
Vest, Ambroise
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ON THE OBSERVABILITY AND STATE ESTIMATION IN A CLASS OF GENE-EXPRESSION SYSTEM
Dynamic systems and applications, 2018 The failure of available physical sensors for the online measurement of protein concentration in cells is a key problem to understanding the transition in bio-systems.
R. Aguilar‐López, J. Mata-Machuca
semanticscholar +1 more source