Multiresolution methods for representation of volterra series and dynamical systems

41st Structures, Structural Dynamics, and Materials Conference and Exhibit

Volumn , Issue , 2000, Pages

  Prazenica, Richard ^a   Kurdila, Andrew ^a   Silva, Walt ^b  

^a UNIVERSITY OF FLORIDA   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIORTHOGONAL WAVELET; CHARACTERISTIC FUNCTIONS; HIGHER ORDER TERMS; INPUT/OUTPUT REPRESENTATIONS; MULTIRESOLUTION METHODS; PIECEWISE POLYNOMIALS; REDUCED-ORDER APPROXIMATION; VOLTERRA OPERATORS;

DYNAMICAL SYSTEMS; STRUCTURAL DYNAMICS;

CHARACTERIZATION;

EID: 84896810218     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. Aubry, N., Holmes, P., Lumley, J.L. and Stone, E., "The Dynamics of Coherent Structures in the Wall Region of a Turbulent Boundary Layer, " Journal of Fluid Mechanics, Vol. 192, pp. 115-173, 1988.
2. Ball, K.S., Sirovich, L. and Keefe, L.R., "Dynamical Eigenfunction Decomposition of Turbulent Channel Flow, " International Journal for Numerical Methods in Fluids, Vol. 12, pp. 585-604, 1991.
3. Craig, Roy R., Structural Dynamics, An Introduction to Computer Methods, John Wiley & Sons, New York, 1981.
4. Daubechies, Ingrid, Ten Lectures on Wavelets, Capital City Press, Montpelier, VT, 1992.
5. Donovan, G., Geronimo, J., and Hardin, P., "Intertwining Multiresolution Analyses and the Construction of Piecewise Polynomial Wavelets, " SIAM J. Math. Anal., 27(6), 1791-1815, 1996.
6. Donovan, G., Geronimo, J., and Hardin, P., "Orthogonal Polynomials and the Construction of Piecewise Polynomial Smooth Wavelets, " preprint, 1998.
7. Ito, K., and Ravindran, S.S., "Reduced basis method for flow control, " Technical report, Center for Research in Scientific Computation, North Carolina State University, 1997.
8. Ito, K., and Ravindran, S.S., "A Reduced Basis Method for Control Problems Governed by PDEs, " Technical report, Center for Research in Scientific Computation, North Carolina State University, 1997.
9. Kurdila, A., Li, J., Liu, J., and Prazenica, R., "Reduced Order Representations of Volterra Series via Wavelet Expansions, " submitted to the Journal of Vibration and Control, 1999.
10. Kurdila, A., Prazenica, R., Rediniotis, O., and Strganac, T., "Multiresolution Methods for Reduced Order Models for Dynamical Systems, " submitted to the Journal of Guidance, Control, and Dynamics, 1999.
11. Ly, H.V., and Tran, H.T., "Proper Orthogonal Decomposition for Flow Calculations and Optimal Control in a Horizontal CVD Reactor, " Technical report, Center for Research in Scientific Computation, North Carolina State University, 1997.
12. Mallat, Stephane, A Wavelet Tour of Signal Processing, Academic Press, San Diego, 1998.
13. Nikolaou, M., and Mantha, D., "Efficient Nonlinear Modeling Using Wavelets and Related Compression Techniques, " AIChE Journal, preprint.
14. Nikolaou, M., and Vuthandam, P., "FIR Model Identification: Parsimony Through Kernel Compression with Wavelets, " AIChE Journal, Vol. 44, No. 1, January, 1998, pp. 141-150.
15. Rediniotis, O., and Kurdila, A.J., "Reduced Order Navier-Stokes Models for Synthetic Jets, " Proceedings of DETC '99: The ASME 1999 Design Engineering Technical Conference, Sept. 12-15, 1999, Las Vegas, Nevada.
16. Reichert, R.S., Hatay, F.F., Biringen, S., and Huser, A., "Proper Orthogonal Decomposition Applied to Turbulent Flow in a Square Duct, " Journal of Physics of Fluids, Vol. 6, No. 9, pp. 3086-3092, September, 1994.
17. Schetzen, Martin, The Volterra and Wiener Theories of Nonlinear Systems, John Wiley & Sons, New York, 1980.
18. Strela, V., and Strang G., "Short Wavelets and Matrix Dilation Equations, " IEEE Trans. SP, Vol. 43, No. 1, pp. 108-115, January, 1995.
19. Tang, K.Y., Graham, W.R., and Peraire, J., "Active Flow Control Using a Reduced Order Model and Optimum Control, " AIAA Paper