Computation of the generalized inverse of a polynomial matrix and applications

Linear Algebra and Its Applications

Volumn 252, Issue 1-3, 1997, Pages 35-60

  Karampetakis, N P ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040098192     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00695-8     Document Type: Article

References (17)

1. H. P. Decell, An application of the Cayley-Hamilton theorem to generalized matrix inversion, SIAM Rev. 7:526-528 (1965).
2. D. K. Faddeev and V. N. Faddeeva, Computational Methods of Linear Algebra, Freeman, San Francisco, 1963, pp. 260-265.
3. G. Fragulis, Analysis of general singular systems, Ph.D. Thesis, Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece, 1991.
4. G. Fragulis, B. G. Mertzios, and A. I. G. Vardulakis, Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion, Int. J. Control 53:431-443 (1991).
5. J. Jones, N. P. Karampetakis and A. C. Pugh, The computation and application of the generalized inverse via MAPLE, J. Symbolic Computation, in press.
6. N. P. Karampetakis, B. G. Mertzios, and A. I. Vardulakis, Computation of the transfer function matrix and its Laurent expansion of generalized two-dimensional systems, Int. J. Control 60:521-541 (1994).
7. N. P. Karampetakis, Computation of the generalized inverse of two variable polynomial matrices and applications, Proceedings of the 4th IEEE Mediterranean Symposium on New Directions in Control and Automation, June 10-13, 1996, Maleme, Krete, Creece, pp. 220-225.
8. V. Kucera, Diophantique equation in Control - A survey, Automatica, 29:1361-1375 (1993).
9. V. Lovass Nagy, R. Miller, and D. Powers, Research Note: On the application of matrix generalized inverses to the construction of inverse systems, Int. J. Control 24:733-739 (1976).
10. V. Lovass Nagy, R. Miller, and D. Powers, Transfer function matrix synthesis by matrix generalized inverses, Int. J. Control, 27:387-391 (1978).
11. V. Lovass Nagy, R. Miller, and D. Powers, Further results on output control in the servomechanism sense, Int. J. Control 27:133-138 (1978).
12. V. Lovass Nagy, R. Miller, and D. Powers, An introduction to the application of the simplest matrix-generalized inverse in system science, IEEE Trans. Auto. Control 25:766-771 (1978).
13. B. G. Mertzios, Leverrier's algorithm for singular systems, IEEE Trans. Auto. Control 29:652-653 (1984).
14. B. G. Mertzios and F. L. Lewis, Fundamental matrix of singular systems, Circuit Systems Signal Process. 8:341-355 (1989).
15. R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc. 51:406-413 (1955).
16. J. C. Willems, Paradigms and puzzles in the theory of dynamical systems, IEEE Trans. Auto. Control 36:259-294 (1991).
17. L. A. Zadeh and C. A. Desoer, Linear System Theory. McGraw-Hill, New York, 1963.