Digraph characterization of structural controllability for linear descriptor systems

Linear Algebra and Its Applications

Volumn 266, Issue 1-3, 1997, Pages 199-217

  Reinschke, Kurt J ^a   Wiedemann, Gunter ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944455745     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)86521-4     Document Type: Article

References (17)

1. N. Andrei, Sparse Systems. Digraph Approach of Large-Scale Linear Systems Theory, TÜV, Köln, 1985.
2. D. Cobb, Controllability, observability, and duality in singular systems, IEEE Trans. Automat. Control AC-29(12):1076-1082 (1984).
3. L. Dai, Singular Control Systems, Springer-Verlag, New York, 1989.
4. A. L. Dulmage and N. S. Mendelsohn, Coverings of bipartite graphs. Canad. J. Math. 10:517-534 (1958).
5. O. I. Franksen, P. Falster, and F. J. Evans, Qualitative Aspects of Large Scale Systems, Springer-Verlag, New York, 1979.
6. K. Murota, System Analysis by Graphs and Matroids, Springer-Verlag, New York, 1987.
7. L. R. Petzold, Differential/algebraic equations are not ODEs, SIAM J. Sci. Statist. Comput. (3):367-384 (1982).
8. K. J. Reinschke, Multi-variable Control. A Graph-Theoretic Approach, Springer-Verlag, New York, 1988.
9. K. J. Reinschke, Graph-theoretic approach to symbolic analysis of linear descriptor systems, presented at ILAS meeting, Lisbon, Aug. 1992.
10. K. J. Reinschke, Graph-theoretic approach to symbolic analysis of linear descriptor systems, Linear Algebra Appl. 197,198:217-244 (1994).
11. F. Svaricek, Zuverlässige numerische Analyse linearer Regelungssysteme, Teubner, Stuttgart, 1995.
12. L. Trave, A. Titli, and A. Tarras, Large Scale Systems: Decentralization, Structure Constraints and Fixed Modes, Springer-Verlag, New York, 1989.
13. J. van der Woude and K. Murota, Disturbance decoupling with pole placement for structural systems: A graph-theoretic approach, Matrix Anal. Appl. 16(3):922-942 (1995).
14. G. C. Verghese, B. C. Lévy, and T. Kailath, A generalized state-space for singular systems, IEEE Trans. Automat. Control AC-26(4):811-831 (1981).
15. H.-D. Wend, Strukturelle Analyse linearer Regelungssysteme, R. Oldenbourg Verlag, München, 1993.
16. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, 3rd ed., Springer-Verlag, New York, 1985.
17. E. L. Yip and R. F. Sincovec, Solvability, controllability, and observability of continuous descriptor systems, IEEE Trans. Automat. Control AC-26:702-707 (1981).