Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs)

George F. Fragulis; Antonis I. G. Vardulakis

Kybernetika (1994)

  • Volume: 30, Issue: 6, page 617-628
  • ISSN: 0023-5954

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Fragulis, George F., and Vardulakis, Antonis I. G.. "Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs)." Kybernetika 30.6 (1994): 617-628. <http://eudml.org/doc/28636>.

@article{Fragulis1994,
author = {Fragulis, George F., Vardulakis, Antonis I. G.},
journal = {Kybernetika},
keywords = {reachability; polynomial matrix description; linear; singular systems},
language = {eng},
number = {6},
pages = {617-628},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs)},
url = {http://eudml.org/doc/28636},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Fragulis, George F.
AU - Vardulakis, Antonis I. G.
TI - Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs)
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 6
SP - 617
EP - 628
LA - eng
KW - reachability; polynomial matrix description; linear; singular systems
UR - http://eudml.org/doc/28636
ER -

References

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  1. S. L. Cambell C. D. Meyer, N. Rose, Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients, SIAM J. Appl. Math. 31 (1976), 3, 411-425. (1976) MR0431636
  2. D. Cobb, Descriptor Variable and Generalized Singularly Pertubed Systems: A Geometric Approach, Ph.D. Dissertation, Dept. of Electrical Engineering, Univ. of Illinois 1980. (1980) 
  3. D. Cobb, Feedback and pole placement in descriptor-variable systems, Internat. J. Control 33 (1981), 6, 1135-1146. (1981) Zbl0464.93039MR0624176
  4. D. Cobb, Controllability, observability, and duality in singular systems, IEEE Trans. Automat. Control AC-29 (1984), 12, 1076-1082. (1984) MR0771396
  5. D. Cobb, On the solution of linear differential equations with singular coefficients, J. Differential Equations 46 (1982), 310-323. (1982) MR0681226
  6. G. F. Fragulis, A closed formula for the determination of the impulsive solutions of linear homogeneneous matrix differential equations, IEEE Trans. Automat. Control AC-38 (1993), 11, 1688-1695. (1993) MR1250043
  7. G. F. Fragulis, Analysis of Generalized Singular Systems, Ph.D. Dissertation, Department of Mathematics, Aristotle Univ. of Thessaloniki 1990. (1990) 
  8. K. Ozcaldiran, Control of Descriptor Systems, Ph.D. Dissertation, School of Electrical Engineering, Georgia Institute of Technology, Atlanta, GA 1985. (1985) 
  9. A. I. G. Vardulakis, Linear Multivariable Control: Algebraic Analysis and Synthesis Methods, Wiley, New York 1991. (1991) Zbl0751.93002MR1104222
  10. A. I. G. Vardulakis, G. F. Fragulis, Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations, Circuits Systems Signal Process. 8 (1989), 3, 357-373. (1989) Zbl0678.34002MR1015177
  11. E. Yip, R. Sincovec, Solvability, controllability, and observability of continuous descriptor systems, IEEE Trans. Automat. Control AC-26 (1981), 3, 702-707. (1981) Zbl0482.93013MR0630799

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