Modeling and control of physical processes using proper orthogonal decomposition

[1]  Karl Pearson F.R.S. LIII. On lines and planes of closest fit to systems of points in space , 1901 .

[2]  H. Hotelling Analysis of a complex of statistical variables into principal components. , 1933 .

[3]  V. A. Krasil’nikov,et al.  Atmospheric turbulence and radio-wave propagation , 1962 .

[4]  Michel Loève,et al.  Probability Theory I , 1977 .

[5]  C. A. Andrews,et al.  Adaptive data compression , 1967 .

[6]  A. Townsend The Structure of Turbulent Shear Flow , 1975 .

[7]  L. Sirovich Turbulence and the dynamics of coherent structures. I. Coherent structures , 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]  S. Ostrach Natural convection in enclosures , 1988 .

[10]  Bahgat Sammakia,et al.  Buoyancy-Induced Flows and Transport , 1988 .

[11]  D. Chambers,et al.  Karhunen-Loeve expansion of Burgers' model of turbulence , 1988 .

[12]  David Casasent,et al.  Karhunen-Loeve techniques for optimal processing of time sequential imagery , 1991 .

[13]  Parviz Moin,et al.  Characteristic-eddy decomposition of turbulence in a channel , 1989, Journal of Fluid Mechanics.

[14]  L. Sirovich Chaotic dynamics of coherent structures , 1989 .

[15]  M. Kirby,et al.  A proper orthogonal decomposition of a simulated supersonic shear layer , 1990 .

[16]  Lawrence Sirovich,et al.  Application of the Karhunen-Loeve Procedure for the Characterization of Human Faces , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  Lawrence Sirovich,et al.  Dynamical eigenfunction decomposition of turbulent channel flow , 1991 .

[18]  George N. Facas,et al.  Natural convection in a cavity with fins attached to both vertical walls , 1993 .

[19]  Jacob Rubinstein,et al.  Recognition of rotated images by invariant Karhunen–Loeve expansion , 1994 .

[20]  Asmund Huser,et al.  Proper orthogonal decomposition applied to turbulent flow in a square duct , 1994 .

[21]  L. Sirovich,et al.  Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour , 1994, Journal of Fluid Mechanics.

[22]  Max Gunzburger A Prehistory of Flow Control and Optimization , 1995 .

[23]  Jonathan C. Mattingly,et al.  Low-dimensional models of coherent structures in turbulence , 1997 .

[24]  Ricardo C. H. del Rosario,et al.  Reduced-order model feedback control design: numerical implementation in a thin shell model , 2000, IEEE Trans. Autom. Control..

[25]  H. Tran,et al.  Proper Orthogonal Decomposition for Flow Calculations and Optimal Control in a Horizontal CVD Reactor , 2002 .