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Ingham type approach for uniform observability inequality of the semi-discrete coupled wave equations [PDF]
Electronic Journal of Differential Equations, 2020 This article concerns an observability inequality for a system of coupled wave equations for the continuous models as well as for the space semi-discrete finite difference approximations.
Dilberto da Silva Almeida Junior +3 more
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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 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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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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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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Stabilization of the critical nonlinear Klein-Gordon equation with variable coefficients on R^3
Electronic Journal of Differential Equations, 2022 We prove the exponential stability of the defocusing critical semilinear wave equation with variable coefficients and locally distributed damping on \(\mathbb{R}^3\).
Song-Ren Fu, Zhen-Hu Ning
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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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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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Electronic Journal of Qualitative Theory of Differential Equations, 2018 We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of
Jawad Salhi
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Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider the semilinear heat equation in a bounded domain of $\mathbb{R}^m$. We prove the null controllability of the system with a finite number of constraints on the normal derivative, when the control acts on a bounded subset of the domain.
Carole Louis-Rose
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