Geodesic
Infinite eigenvalue assignment by an output feedback for singular systems
International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) no. 1, pp. 19-23

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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.
Keywords: infinite eigenvalue assignment, feedback, singular system
Mots-clés : przyporządkowanie wartości własnych, sprzężenie zwrotne, układ singularny 
Kaczorek, T. Infinite eigenvalue assignment by an output feedback for singular systems. International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) no. 1, pp. 19-23. http://geodesic.mathdoc.fr/item/IJAMCS_2004_14_1_a2/
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[1] Dai L. (1989): Singular Control Systems. — Berlin: Springer.

[2] 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.

[3] 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.

[4] 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.

[5] Kaczorek T. (2002): Perfect functional observers of singular continuous-time linear systems. — Mach. Intell. Robot. Contr., Vol. 4, No. 1, pp. 77–82.

[6] Kaczorek T. (1993): Linear Control Systems, Vols. 1 and 2. — New York: Wiley.

[7] 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.

[8] Kaliath T. (1980): Linear Systems. — Englewood Cliffs: Prentice Hall.

[9] Kučera V. (1981): Analysis and Design of Discrete Linear Control Systems.—Prague: Academia.

[10] Wonham W.M. (1979): Linear Multivariable Control: A Geometric Approach.—New York: Springer.