, 2016 This paper aims to provide directly the observability inequality of backward stochastic heat equations for measurable sets. As an immediate application, the null controllability of the forward heat equations is obtained.
Yang, Donghui, Zhong, Jie
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FRW barotropic zero modes: Dynamical systems observability
, 2006 The dynamical systems observability properties of barotropic bosonic and fermionic FRW cosmological oscillators are investigated. Nonlinear techniques for dynamical analysis have been recently developed in many engineering areas but their application has
Ibarra-Junquera, V., Rosu, H. C.
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Inverse coefficient problem for Grushin-type parabolic operators
, 2013 The approach to Lipschitz stability for uniformly parabolic equations introduced by Imanuvilov and Yamamoto in 1998 based on Carleman estimates, seems hard to apply to the case of Grushin-type operators studied in this paper.
Beauchard, Karine, Cannarsa, Piermarco
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Generalized form of fractional order COVID-19 model with Mittag-Leffler kernel. [PDF]
Math Methods Appl Sci, 2021 Aslam M +4 more
europepmc +1 more source
Optimal Actuator Location of the Minimum Norm Controls for Stochastic Heat Equations
, 2017 In this paper, we study the approximate controllability for the stochastic heat equation over measurable sets, and the optimal actuator location of the minimum norm controls.
Yang, Donghui, Zhong, Jie
core
Null controllability of a population dynamics with interior degeneracy
, 2017 In this paper, we deal with the null controllability of a population dynamics model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and afterwards we deduce a suitable observability ...
Boutaayamou, Idriss, Echarroudi, Younes
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Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation
, 2012 We study a damped semi-linear wave equation in a bounded domain with smooth boundary. It is proved that any sufficiently smooth solution can be stabilised locally by a finite-dimensional feedback control supported by a given open subset satisfying a ...
Ammari, Kaïs +2 more
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Network Distance-Based Simulated Annealing and Fuzzy Clustering for Sensor Placement Ensuring Observability and Minimal Relative Degree. [PDF]
Sensors (Basel), 2018 Leitold D, Vathy-Fogarassy A, Abonyi J.
europepmc +1 more source
Controllability results for cascade systems of m coupled parabolic PDEs by one control force
, 2010 Manuel González-Burgos, L. Teresa
semanticscholar +1 more source
Stabilization of second order evolution equations by a class of unbounded feedbacks
, 2001 K. Ammari, M. Tucsnak
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