Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
Adaptive Reduced-Order Controllers for a Thermal Flow System Using Proper Orthogonal Decomposition
SIAM Journal on Scientific Computing
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
SIAM Journal on Numerical Analysis
Dynamic Iteration Using Reduced Order Models: A Method for Simulation of Large Scale Modular Systems
SIAM Journal on Numerical Analysis
Trust-region proper orthogonal decomposition for flow control
Trust-region proper orthogonal decomposition for flow control
A variational discretization concept in control constrained optimization: the linear-quadratic case
Computational Optimization and Applications
SIAM Journal on Control and Optimization
Modeling and control of physical processes using proper orthogonal decomposition
Mathematical and Computer Modelling: An International Journal
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In this paper we investigate POD discretizations of abstract linear---quadratic optimal control problems with control constraints. We apply the discrete technique developed by Hinze (Comput. Optim. Appl. 30:45---61, 2005) and prove error estimates for the corresponding discrete controls, where we combine error estimates for the state and the adjoint system from Kunisch and Volkwein (Numer. Math. 90:117---148, 2001; SIAM J. Numer. Anal. 40:492---515, 2002). Finally, we present numerical examples that illustrate the theoretical results.