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Null controllability of the heat equation using flatness

https://doi.org/10.1016/j.automatica.2014.10.049
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Outgoing claims: the papers this work cites, builds on, or argues with.

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inferredcites →https://doi.org/10.1007/978-3-540-49938-1openalex-snapshot
The Analysis of Linear Partial Differential Operators III
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The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis
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Null boundary controllability for semilinear heat equations
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Uniform controllability properties for space/time-discretized parabolic equations
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Strong convergent approximations of null controls for the 1D heat equation
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A fundamental solution for the heat equation which is supported in a strip
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Flatness-based trajectory planning for diffusion–reaction systems in a parallelepipedon—A spectral approach
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Uniform controllability of semidiscrete approximations of parabolic control systems
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Numerical null controllability of the heat equation through a least squares and variational approach
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Flatness-based boundary control of a class of quasilinear parabolic distributed parameter systems
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Flatness and defect of non-linear systems: introductory theory and examples
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Contróle Exact De Léquation De La Chaleur
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Model inversion of boundary controlled parabolic partial differential equations using summability methods
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Numerical approximation of null controls for the heat equation: Ill-posedness and remedies
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On the Dirichlet boundary controllability of the one-dimensional heat equation: semi-analytical calculations and ill-posedness degree
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Control Methods in PDE-Dynamical Systems
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Entire functions and Müntz-Szász type approximation
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Null controllability of the 2D heat equation using flatness
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A heat source reconstruction formula from single internal measurements using a family of null controls
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Real and Complex Analysis.
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Null controllability of the 1D heat equation using flatness
inferredcites →https://doi.org/10.3182/20140824-6-za-1003.00442openalex-snapshot
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inferredcites →https://doi.org/10.3233/asy-2008-0888openalex-snapshot
Controllability of the time discrete heat equation
inferredcites →https://doi.org/10.3934/mcrf.2012.2.217openalex-snapshot
Numerical null controllability of semi-linear 1-D heat equations: Fixed point, least squares and Newton methods
inferredcites →https://doi.org/10.4171/022-3/67openalex-snapshot
Control and numerical approximation of the wave and heat equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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inferred← citeshttps://doi.org/10.1002/pamm.201610013openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-80281-3_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00028-023-00882-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00205-017-1119-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00209-022-03058-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00498-016-0180-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10440-023-00607-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10883-026-09770-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s40903-017-0074-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.anihpc.2020.03.001openalex-snapshot
Exact controllability of semilinear heat equations in spaces of analytic functions
inferred← citeshttps://doi.org/10.1016/j.automatica.2018.01.005openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.automatica.2018.12.005openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ejcon.2026.101584openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ifacol.2020.12.1363openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.matpur.2025.103761openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.nahs.2015.12.004openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.sysconle.2023.105684openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.sysconle.2024.105821openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/9781108304023.009openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/cocv/2023016openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/cocv/2024025openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.4938920openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/23335777.2018.1521872openalex-snapshot
Differential flatness and boundary control for bandwidth allocation in Internet routes
inferred← citeshttps://doi.org/10.1093/amrx/abv013openalex-snapshot
On the Reachable States for the Boundary Control of the Heat Equation
inferred← citeshttps://doi.org/10.1109/cac.2017.8244001openalex-snapshot
Flatness approach and its application to distributed parameter systems
inferred← citeshttps://doi.org/10.1109/cdc56724.2024.10886690openalex-snapshot
Fokas Method-Based Control of the Heat Equation in the k-Plane
inferred← citeshttps://doi.org/10.1109/ecc.2015.7330525openalex-snapshot
Null controllability using flatness: A case study of a 1-D heat equation with discontinuous coefficients
inferred← citeshttps://doi.org/10.1109/lcsys.2024.3406924openalex-snapshot
Stabilizing Nonlinear ODEs With Diffusive Actuator Dynamics
inferred← citeshttps://doi.org/10.1109/tac.2023.3263753openalex-snapshot
Numerical Computation of Neumann Controls for the Heat Equation on a Finite Interval
inferred← citeshttps://doi.org/10.1109/tac.2024.3476174openalex-snapshot
Tracking Controllability for the Heat Equation
inferred← citeshttps://doi.org/10.1109/tac.2025.3525569openalex-snapshot
Motion Planning for Parabolic Equations Using Flatness and Finite-Difference Approximations
inferred← citeshttps://doi.org/10.1137/14099245xopenalex-snapshot
Null Controllability of One-dimensional Parabolic Equations by the Flatness Approach
inferred← citeshttps://doi.org/10.1137/16m1093215openalex-snapshot
On the Reachable Set for the One-Dimensional Heat Equation
inferred← citeshttps://doi.org/10.1137/18m1181390openalex-snapshot
Exact Controllability of a Linear Korteweg--de Vries Equation by the Flatness Approach
inferred← citeshttps://doi.org/10.1137/18m1198442openalex-snapshot
Null Controllability for Parabolic Operators with Interior Degeneracy and One-Sided Control
inferred← citeshttps://doi.org/10.1137/23m1577833openalex-snapshot
Flatness Approach for the Boundary Controllability of a System of Heat Equations
inferred← citeshttps://doi.org/10.1155/2015/187284openalex-snapshot
In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness
inferred← citeshttps://doi.org/10.2140/apde.2019.12.1455openalex-snapshot
On the cost of observability in small times for the one-dimensional heat equation
inferred← citeshttps://doi.org/10.2140/tunis.2026.8.351openalex-snapshot
Control of Kawahara equation using flat outputs
inferred← citeshttps://doi.org/10.23919/acc53348.2022.9867213openalex-snapshot
Available energy-based interconnection and entropy assignment (ABI-EA) boundary control of the heat equation: an Irreversible Port Hamiltonian approach
inferred← citeshttps://doi.org/10.3182/20140824-6-za-1003.00442openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/eect.2025041openalex-snapshot
Rainfall infiltration: Direct and inverse problems on a linear evolution equation
inferred← citeshttps://doi.org/10.3934/mcrf.2017006openalex-snapshot
The cost of controlling weakly degenerate parabolic equations by boundary controls
inferred← citeshttps://doi.org/10.48550/arxiv.1410.2588openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1807.00026openalex-snapshot
Null controllability of parabolic equations with interior degeneracy and one-sided control
inferred← citeshttps://doi.org/10.48550/arxiv.1812.06637openalex-snapshot
Exact Controllability of Nonlinear Heat Equations in Spaces of Analytic Functions
inferred← citeshttps://doi.org/10.48550/arxiv.2101.00473openalex-snapshot
Sidewise control of 1-d waves
inferred← citeshttps://doi.org/10.5802/crmath.204openalex-snapshot
On non-denseness for a method of fundamental solutions with source points fixed in time for parabolic equations
inferred← citeshttps://doi.org/10.70675/135febc3ze976z4e78zbc56z333234d174f1openalex-snapshot
Contrôle d'équations aux dérivées partielles par des méthodes directes
inferred← citeshttps://doi.org/10.70675/c601cea7zbf2dz4fcczb78ez0eb70c41efb0openalex-snapshot
Controllability of of some kinetic equations, of parabolic degenerated equations and of the Schrödinger equation via domain transformation.
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