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PDE‐constrained model predictive control of open‐channel systems
Yongfang Xie, Ningjun Zeng, Shaohui Zhang, Lihui Cen and Xiaofang Chen IET Control Theory & Applications 18(2) 160 (2024) https://doi.org/10.1049/cth2.12554
On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control
Behzad Azmi, Anne-Céline Boulanger and Karl Kunisch ESAIM: Control, Optimisation and Calculus of Variations 24(1) 237 (2018) https://doi.org/10.1051/cocv/2017001
A fractional Fokker-Planck control framework for subdiffusion processes
M. Annunziato, A. Borzì, M. Magdziarz and A. Weron Optimal Control Applications and Methods 37(2) 290 (2016) https://doi.org/10.1002/oca.2168
Estimates on the Minimal Stabilizing Horizon Length in Model Predictive Control for the Fokker-Planck Equation**This work was supported by the DFG project Model Predictive Control for the Fokker-Planck Equation, GR 1569/15-1. The paper was written while the second author was visiting the University of Newcastle, Australia.
Multiple Shooting and Time Domain Decomposition Methods
Sebastian Götschel, Christoph von Tycowicz, Konrad Polthier and Martin Weiser Contributions in Mathematical and Computational Sciences, Multiple Shooting and Time Domain Decomposition Methods 9 263 (2015) https://doi.org/10.1007/978-3-319-23321-5_10
Liu Liu, Biao Huang and Stevan Dubljevic 2625 (2015) https://doi.org/10.1109/ACC.2015.7171130
Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE
Stability and performance guarantees for model predictive control algorithms without terminal constraints
J. Pannek and K. Worthmann ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 94(4) 317 (2014) https://doi.org/10.1002/zamm.201100133
The Role of Sampling for Stability and Performance in Unconstrained Nonlinear Model Predictive Control
Karl Worthmann, Marcus Reble, Lars Grüne and Frank Allgöwer SIAM Journal on Control and Optimization 52(1) 581 (2014) https://doi.org/10.1137/12086652X
Decentralized predictive control for 1D cascaded systems of conservation laws
Peter Benner and Sabine Hein IFIP Advances in Information and Communication Technology, System Modeling and Optimization 391 217 (2013) https://doi.org/10.1007/978-3-642-36062-6_22
A Comparative Stability Analysis of Neumann and Dirichlet Boundary MPC for the Heat Equation
Predictive control of parabolic PDEs with state and control constraints
Stevan Dubljevic, Nael H. El‐Farra, Prashant Mhaskar and Panagiotis D. Christofides International Journal of Robust and Nonlinear Control 16(16) 749 (2006) https://doi.org/10.1002/rnc.1097
Stevan Dubljevic, Prashant Mhaskar, Nael H. El-Farra and Panagiotis D. Christofides 93 (2006) https://doi.org/10.1109/CDC.2006.376807
Receding Horizon Control with Incomplete Observations
Peter Benner, Sabine Görner and Jens Saak Lecture Notes in Computational Science and Engineering, Parallel Algorithms and Cluster Computing 52 151 (2006) https://doi.org/10.1007/3-540-33541-2_9
Reduced order control based on approximate inertial manifolds