The solution to the matrix equation AV + BW = EVJ + R

Applied Mathematics Letters

Volumn 17, Issue 10, 2004, Pages 1197-1202

  Duan, Guang Ren ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Generalized Sylvester matrix equation; Parametric solution; R controllability; Smith form reduction

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINE CONCENTRATORS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBLEM SOLVING; VECTOR QUANTIZATION;

GENERALIZED SYLVESTER MATRIX EQUATION; PARAMETRIC SOLUTION; R-CONTROLLABILITY; SMITH FORM REDUCTION;

MATRIX ALGEBRA;

EID: 10644221060     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2003.05.012     Document Type: Article

References (14)

1. G.R. Duan, Solution to matrix equation AV + BW = EVF and eigenstructure assignment for descriptor systems, Automation 28 (3), 639-643, (1992).
2. G.R. Duan, Solution to matrix equation AV + BW = VF and their application to eigenstructure assignment in linear systems, IEEE Trans. Autom. Control 38 (2), 276-280, (1993).
3. G.R Duan, Eigenstructure assignment in descriptor linear systems via output feedback, Int. J. Control 72 (4), 345-364, (1999).
4. L.R. Fletcher, J. Kautsky and N.K. Nichols, Eigenstructure assignment in descriptor systems, IEEE Trans. Autom. Control 31 (12), 1138-1141, (1986).
5. F.L. Lewis and K. Ozcaldiran, Geometric structure and feedback in singular systems, IEEE Trans. Autom. Control 34, 450-455, (1989).
6. L. Dai, Singular Control Systems, Springer-Verlag, (1989).
7. A. Saberi, A.A. Stoorvogel and P. Sannuti, Control of Linear Systems with Regulation and Input Constraints, Springer-Verlag, (1999).
8. P.M. Frank, Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy - A survey and some new results, Automation 20, 459-474, (1990).
9. G.R. Duan and R.J Patton, Robust fault detection in linear systems using luenberger-type unknown input observers - a parametric approach, Int. J. Systems Science 32 (4), 533-540, (2001).
10. G.R. Duan, On the solution to Sylvester matrix equation AV + BW = EVF, IEEE Trans. Autom. Control 41 (4), 612-614, (1996).
11. G.R. Duan and G.P. Liu, Complete parametric approach for eigenstrueture assignment in a class of second-order linear systems, Automatica 38 (4), 725-729, (2002).
12. G.R. Duan, Robust eigenstructure assignment via dynamical compensators, Automatica 29 (2), 469-474, (1993).
13. G.R Duan, G.W. Irwin and G.P. Liu, Disturbance attenuation in linear systems via dynamical compensators - A parameter eigenstructure assignment approach, IEE proceeding, Control Theory and Applications 146 (2), 129-136, (2000).
14. G.R. Duan, N.K. Nickols and G.P. Liu, Robust pole assignment in descriptor linear systems via state feedback, European Journal of Control 8 (2), 136-149, (2002).