Second-order balanced truncation

Linear Algebra and Its Applications

Volumn 415, Issue 2-3, 2006, Pages 373-384

  Chahlaoui, Y ^a   Lemonnier, D ^a   Vandendorpe, A ^a   Van Dooren, P ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Balanced truncation; Model reduction; Second order system

Indexed keywords

LINEAR SYSTEMS; MATHEMATICAL MODELS; NUMERICAL METHODS;

BALANCED TRUNCATION; MODEL REDUCTION; SECOND-ORDER SYSTEM;

TIME VARYING SYSTEMS;

EID: 33646143778     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.03.032     Document Type: Article

References (7)

1. Rubinstein M.F. Structural Systems--Statics, Dynamics and Stability (1970), Prentice-Hall, Inc.
2. Weaver Jr. W., and Johnston P.R. Structural Dynamics by Finite Elements (1987), Prentice-Hall, Inc.
3. Meyer D.G., and Srinivasan S. Balancing and model reduction for second-order form linear systems. IEEE Trans. Automat. Control 41 11 (1996) 1632-1644
4. Y. Chahlaoui, K. Meerbergen, D. Lemonnier, A. Vandendorpe, P. Van Dooren, Model reduction of second order system, in: MTNS 2002 (15th Symp. on the Mathematical Theory of Networks and Systems), 2002.
5. Zhou K., Doyle J.C., and Glover K. Robust and Optimal Control (1996), Prentice Hall, Inc., Upper Saddle River, NJ
6. ∞-error bounds. Internat. J. Control 39 6 (1984) 1115-1193
7. Y. Chahlaoui, P. Van Dooren, A collection of benchmark examples for model reduction of linear time invariant dynamical systems, SLICOT Working Note 2002-2, 2002. Available from .