# Infinite eigenvalue assignment by an output feedback for singular systems

International Journal of Applied Mathematics and Computer Science (2004)

- Volume: 14, Issue: 1, page 19-23
- ISSN: 1641-876X

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topKaczorek, Tadeusz. "Infinite eigenvalue assignment by an output feedback for singular systems." International Journal of Applied Mathematics and Computer Science 14.1 (2004): 19-23. <http://eudml.org/doc/207674>.

@article{Kaczorek2004,

abstract = {The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.},

author = {Kaczorek, Tadeusz},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {singular system; feedback; infinite eigenvalue assignment},

language = {eng},

number = {1},

pages = {19-23},

title = {Infinite eigenvalue assignment by an output feedback for singular systems},

url = {http://eudml.org/doc/207674},

volume = {14},

year = {2004},

}

TY - JOUR

AU - Kaczorek, Tadeusz

TI - Infinite eigenvalue assignment by an output feedback for singular systems

JO - International Journal of Applied Mathematics and Computer Science

PY - 2004

VL - 14

IS - 1

SP - 19

EP - 23

AB - The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.

LA - eng

KW - singular system; feedback; infinite eigenvalue assignment

UR - http://eudml.org/doc/207674

ER -

## References

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- Delin Chu and D.W.C Ho (1999): Infinite eigenvalue assignment for singular systems. - Linear Algebra and Its Applications, Vol. 298, No. 1, pp. 21-37. Zbl0987.93037
- Kaczorek T. (2002): Polynomial approach to pole shifting to infinity in singular systems by feedbacks. - Bull. Pol. Acad. Sci. Techn. Sci., Vol. 50, No. 2, pp. 134-144. Zbl1038.93037
- Kaczorek T. (2000): Reduced-order perfect and standard observers for singular continuous-time linear systems. - Mach. Intell. Robot. Contr., Vol. 2, No. 3, pp. 93-98.
- Kaczorek T. (2002): Perfect functional observers of singular continuous-time linear systems. - Mach. Intell. Robot. Contr., Vol. 4, No. 1, pp. 77-82.
- Kaczorek T. (1993): Linear Control Systems, Vols. 1 and 2.- New York: Wiley. Zbl0784.93003
- Kaczorek T. (2003): The relationship between infinite eigenvalue assignment for singular systems and solvability of polynomial matrix equations. - Int. J. Appl. Math. Comp. Sci., Vol. 13, No. 2, pp. 161-167. Zbl1049.34005
- Kaliath T. (1980): Linear Systems. - Englewood Cliffs: Prentice Hall.
- Kučera V. (1981): Analysis and Design of Discrete Linear Control Systems. - Prague: Academia.
- Wonham W.M. (1979): Linear Multivariable Control: A Geometric Approach. - New York: Springer. Zbl0424.93001

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