Entropy of spatiotemporal data as a dynamic truncation indicator for model reduction applications

Proceedings of the American Control Conference

Volumn 5, Issue , 2005, Pages 3145-3150

  Bleris, Leonidas G ^b   Kothare, Mayuresh V ^a  

^a LEHIGH UNIVERSITY   (United States)

^b Lehigh University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ON-LINE APPLICATIONS; TRUNCATION;

EIGENVALUES AND EIGENFUNCTIONS; NEWTONIAN FLOW;

ENTROPY;

EID: 23944432638     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. L. G. Bieris and M. V. Kothare. Low-order empirical modeling of distributed parameter systems using temporal and spatial eigenfunctions. To appear: Computers & Chemical Engineering, February 2005.
2. B. A. Finlayson. The Method of Weighted Residuals and Variational Principles, with Application in Fluid Mechanics, Heat and Mass transfer, volume 87 of Mathematics in Science and Engineering, R. Bellman(editor). Academic Press, New York, 1972.
3. Y. Lin, H. Y. Chang, and R. A. Adomaitis. Mwrtools: A library for weighted residual method calculations. Computers & Chemical Engineering, 23:1041-1061, February 1999.
4. P. Holmes, J. L. Lumley, and G. Berkooz. Turbulence, coherent structures, dynamical systems and symmetry. Cambridge monographs on Mechanics. Cambridge University Press, 1996.
5. H. Hotelling. Analysis of a complex of statistical variables into principle components. Journal of Educational Psychology, 24:417-441, 498-520, 1933.
6. P. D. Christofides. Nonlinear and Robust Control of PDE Systems. Birkhäuser, Boston, MA, 2001.
7. S. Y. Shvartsman and I. G. Kevrekidis. Nonlinear model reduction for control of distributed parameter systems: A computer assisted study. AIChE Journal, 44:1579, 1998.
8. J. L. Lumley. Stochastic Tools in Turbulence. Academic Press, New York, 1970.
9. P. Kolodner, S. Slimani, N. Aubry, and R. Lima. Characterization of dispersive chaos and related states of binary-fluid convection. Physica D, 85:165-224, 1995.
10. A. A. Alonso and B. E. Ydstie. Stabilization of distributed systems using irreversible thermodynamics. Automatica, 37:1739-1755, 2001.