Krylov subspace methods for model order reduction of bilinear control systems

Systems and Control Letters

Volumn 59, Issue 8, 2010, Pages 443-450

  Breiten, Tobias ^a   Damm, Tobias ^a  

^a University of Koblenz Landau   (Germany)

Author keywords

Bilinear systems; Carleman bilinearization; Krylov subspaces; Model order reduction; Multimoment matching

Indexed keywords

BILINEAR SYSTEM; CARLEMAN BILINEARIZATION; KRYLOV SUBSPACE; MODEL ORDER REDUCTION; MULTIMOMENT-MATCHING;

LINEAR CONTROL SYSTEMS;

NUMERICAL METHODS;

EID: 77955664678     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2010.06.003     Document Type: Article

References (13)

1. A.C. Antoulas Approximation of Large-Scale Dynamical Systems 2005 Cambridge University Press
2. Z. Bai, and D. Skoogh A projection method for model reduction of bilinear dynamical systems Linear Algebra Appl. 415 2006 406 425
3. M. Condon, and R. Ivanov Krylov subspaces from bilinear representations of nonlinear systems COMPEL 26 2007 399 406
4. J.R. Phillips Projection-based approaches for model reduction of weakly nonlinear time-varying systems IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 22 2003 171 183
5. J.R. Phillips Projection frameworks for model reduction of weakly nonlinear systems Proc. DAC 2000 2000 184 189
6. L. Feng, and P. Benner A note on projection techniques for model order reduction of bilinear systems International Conference of Numerical Analysis and Applied Mathematics AIP Conference Proceedings vol. 936 2007 Corfu 208 211
7. C. Bruni, G. DiPillo, and G. Koch On the mathematical models of bilinear systems Ric. Autom. 2 1971 11 26
8. R.R. Mohler Bilinear Control Processes 1973 New York Academic Press
9. W.J. Rugh Nonlinear System Theory The Volterra/Wiener Approach 1981 The Johns Hopkins University Press
10. A. Yousefi Preserving Stability in Model and Controller Reduction with Application to Embedded Systems 2006 TU Munich
11. Z. Bai, and D. Skoogh Krylov subspace techniques for reduced-order modeling of nonlinear dynamical systems Appl. Numer. Math. 43 2002 9 44
12. B. Salimbahrami, and B. Lohmann Krylov subspace methods in linear model order reduction: introduction and invariance properties Sci. Rep. Inst. Automat. Bremen 2002
13. Y. Leredde On initial, boundary conditions and viscosity coefficient control for Burgers' equation Int. J. Numer. Methods Fluids 28 1998 113 128