Flatness-based trajectory planning for diffusion-reaction systems in a parallelepipedon -- A spectral approach
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Publication:540167
DOI10.1016/j.automatica.2011.02.004zbMath1233.93025OpenAlexW2030634628MaRDI QIDQ540167
Publication date: 1 June 2011
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2011.02.004
boundary controlinfinite-dimensional systemsGevrey classentire functionsfeedforward controlFourier seriesspectral analysistrajectory planningdistributed-parameter systemdifferential flatnessRiesz spectral system
Control/observation systems governed by partial differential equations (93C20) Operator-theoretic methods (93B28) Spectrum, resolvent (47A10)
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Cites Work
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- Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc.
- Stability and stabilization of infinite dimensional systems with applications
- Recent progress in the theory of formal solutions for ODE and PDE.
- Fast Solution of Optimal Control Problems in the Selective Cooling of Steel
- Flatness of Heavy Chain Systems
- A modal approach to flatness-based control of flexible structures
- Flatness based control of oscillators
- On Stabilizability of Linear Spectral Systems via State Boundary Feedback
- Feedforward tracking control for non-uniform Timoshenko beam models: combining differential flatness, modal analysis, and FEM
- Flatness-based tracking control of a piezoactuated Euler–Bernoulli beam with non-collocated output feedback: theory and experiments†
- Model inversion of boundary controlled parabolic partial differential equations using summability methods
- Stabilization and Structural Assignment of Dirichlet Boundary Feedback Parabolic Equations
- Boundary Control of Temperature Distributions in a Parallelepipedon
- Contróle Exact De Léquation De La Chaleur
- Systèmes linéaires sur les opérateurs de Mikusinski et commande d'une poutre flexible
- Motion Planning for a nonlinear Stefan Problem
- Motion planning for the heat equation
- Spectral Assignability for Distributed Parameter Systems with Unbounded Scalar Control
- Flatness-based boundary control of a class of quasilinear parabolic distributed parameter systems
- Flachheitsbasierte Steuerung eines Timoshenko-Balkens
- Flatness and defect of non-linear systems: introductory theory and examples
- Trajectory Planning for Boundary Controlled Parabolic PDEs With Varying Parameters on Higher-Dimensional Spatial Domains
- A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
- Dynamics and solutions to some control problems for water-tank systems
- On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
