Error estimates for abstract linear–quadratic optimal control problems using proper orthogonal decomposition
暂无分享,去创建一个
[1] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[2] E. Wagner. International Series of Numerical Mathematics , 1963 .
[3] Tosio Kato. Perturbation theory for linear operators , 1966 .
[4] J. Lions. Optimal Control of Systems Governed by Partial Differential Equations , 1971 .
[5] Keinosuke Fukunaga,et al. Introduction to Statistical Pattern Recognition , 1972 .
[6] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[7] L. Sirovich. Turbulence and the dynamics of coherent structures. III. Dynamics and scaling , 1987 .
[8] Nadine Aubry,et al. The dynamics of coherent structures in the wall region of a turbulent boundary layer , 1988, Journal of Fluid Mechanics.
[9] Keinosuke Fukunaga,et al. Introduction to statistical pattern recognition (2nd ed.) , 1990 .
[10] C. DeWitt-Morette,et al. Mathematical Analysis and Numerical Methods for Science and Technology , 1990 .
[11] Jacques-Louis Lions,et al. Mathematical Analysis and Numerical Methods for Science and Technology: Volume 5 Evolution Problems I , 1992 .
[12] Hermann F. Fasel,et al. Dynamics of three-dimensional coherent structures in a flat-plate boundary layer , 1994, Journal of Fluid Mechanics.
[13] P. Holmes,et al. Turbulence, Coherent Structures, Dynamical Systems and Symmetry , 1996 .
[14] S. Shvartsman,et al. Nonlinear model reduction for control of distributed systems: A computer-assisted study , 1998 .
[15] S. Ravindran,et al. A Reduced Basis Method for Control Problems Governed by PDEs , 1998 .
[16] Wr Graham,et al. OPTIMAL CONTROL OF VORTEX SHEDDING USING LOW-ORDER MODELS. PART I-OPEN-LOOP MODEL DEVELOPMENT , 1999 .
[17] Jerrold E. Marsden,et al. Empirical model reduction of controlled nonlinear systems , 1999, IFAC Proceedings Volumes.
[18] Karl Kunisch,et al. Three Control Methods for Time-Dependent Fluid Flow , 2000 .
[19] Frank Stefani,et al. On the uniqueness of velocity reconstruction in conducting fluids from measurements of induced electromagnetic fields , 2000 .
[20] Harvey Thomas Banks,et al. Nondestructive evaluation using a reduced order computational methodology , 2000 .
[21] E. Sachs,et al. Trust-region proper orthogonal decomposition for flow control , 2000 .
[22] J. A. Atwell,et al. Reduced order controllers for Burgers' equation with a nonlinear observer , 2001 .
[23] K. Afanasiev,et al. Adaptive Control Of A Wake Flow Using Proper Orthogonal Decomposition1 , 2001 .
[24] Stefan Volkwein,et al. Galerkin proper orthogonal decomposition methods for parabolic problems , 2001, Numerische Mathematik.
[25] H. Tran,et al. Modeling and control of physical processes using proper orthogonal decomposition , 2001 .
[26] S. S. Ravindran,et al. Adaptive Reduced-Order Controllers for a Thermal Flow System Using Proper Orthogonal Decomposition , 2001, SIAM J. Sci. Comput..
[27] J. Marsden,et al. A subspace approach to balanced truncation for model reduction of nonlinear control systems , 2002 .
[28] Muruhan Rathinam,et al. Dynamic Iteration Using Reduced Order Models: A Method for Simulation of Large Scale Modular Systems , 2002, SIAM J. Numer. Anal..
[29] Stefan Volkwein,et al. Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics , 2002, SIAM J. Numer. Anal..
[30] J. Peraire,et al. Balanced Model Reduction via the Proper Orthogonal Decomposition , 2002 .
[31] Michael Hinze,et al. Error Estimates in Space and Time for Tracking-type Control of the Instationary Stokes System , 2003 .
[32] Jean-Pierre Yvon,et al. Convergence Estimates of POD-Galerkin Methods for Parabolic Problems , 2003, System Modelling and Optimization.
[33] B. R. Noack,et al. A hierarchy of low-dimensional models for the transient and post-transient cylinder wake , 2003, Journal of Fluid Mechanics.
[34] Michael Hinze,et al. Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations , 2004, Numerische Mathematik.
[35] Clarence W. Rowley,et al. Model Reduction for fluids, Using Balanced Proper Orthogonal Decomposition , 2005, Int. J. Bifurc. Chaos.
[36] Michael Hinze,et al. A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case , 2005, Comput. Optim. Appl..
[37] Stefan Volkwein,et al. A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System , 2005, SIAM J. Control. Optim..
[38] M. Hinze,et al. Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control , 2005 .
[39] Arjan van der Schaft,et al. Conservation Laws and Lumped System Dynamics , 2009 .