Reduced order model predictive control for parametrized parabolic partial differential equations

• Stabilization of parabolic time-varying PDES using certified reduced-order receding horizon control

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• Reduced basis model predictive control for semilinear parabolic partial differential equations

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8 results

• Partial Differential Equations

  1988 Lecture notes in mathematics book Mathematics Nonlinear Partial Differential Equations

  23,546

  citations
• Numerical optimization

  2021 Cambridge University Press eBooks book-chapter Computer Science Data Analysis with R

  14,036

  citations
• Numerical Optimization

  2006 Springer series in operations research/Springer series in operations research and financial engineering book Engineering Topology Optimization in Engineering

  9,083

  citations
• Constrained model predictive control: Stability and optimality

  2000 Automatica article Engineering Advanced Control Systems Optimization

  8,771

  citations
• Model predictive control: Theory and practice—A survey

  1989 Automatica article Engineering Advanced Control Systems Optimization

  5,347

  citations
• A survey of industrial model predictive control technology

  2003 Control Engineering Practice article Engineering Advanced Control Systems Optimization

  5,120

  citations
• Nonlinear Functional Analysis and its Applications

  1990 Springer eBooks book Mathematics Advanced Banach Space Theory

  3,766

  citations
• Optimal Control of Systems Governed by Partial Differential Equations.

  1972 American Mathematical Monthly article Engineering Stability and Controllability of Differential Equations

  2,963

  citations
• Numerical approximation of partial differential equations

  1987 Mathematics and Computers in Simulation book-review Engineering Advanced Numerical Methods in Computational Mathematics Open access

  1,877

  citations
• An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

  2004 Comptes Rendus Mathématique article Physics and Astronomy Model Reduction and Neural Networks

  1,550

  citations
• Nonlinear Model Predictive Control

  2011 Communications and control engineering/Communications and control engineering series book Engineering Advanced Control Systems Optimization

  1,324

  citations
• Robust receding horizon control of constrained nonlinear systems

  1993 IEEE Transactions on Automatic Control article Engineering Advanced Control Systems Optimization

  1,187

  citations
• Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

  2008 Archives of Computational Methods in Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access

  1,140

  citations
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method

  2002 SIAM Journal on Optimization article Computer Science Optimization and Variational Analysis Open access

  999

  citations
• Boundary Control of PDEs: A Course on Backstepping Designs

  2008 article Engineering Stability and Controllability of Differential Equations

  883

  citations
• 46th IEEE conference on decision and control

  2007 conference-paper Engineering Iterative Learning Control Systems

  835

  citations
• Model predictive control: Review of the three decades of development

  2011 International Journal of Control Automation and Systems article Engineering Advanced Control Systems Optimization

  647

  citations
• Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

  2007 ESAIM Mathematical Modelling and Numerical Analysis article Physics and Astronomy Model Reduction and Neural Networks Open access

  519

  citations
• 52nd IEEE Conference on Decision and Control

  2013 paratext Engineering Control Systems and Identification

  452

  citations
• A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

  2005 ESAIM Mathematical Modelling and Numerical Analysis article Physics and Astronomy Model Reduction and Neural Networks Open access

  364

  citations