Bilateral polynomial equations with unimodular right-hand-side matrices

• Autorzy: Tadeusz Kaczorek
• Języki publikacji: EN

Abstrakty

EN

Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.

Słowa kluczowe

EN

bilateral; unimodular procedure; solution; polynomial equation

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 4
• Strony: 511-514

Daty

wydano

2003

otrzymano

2003-05-25

poprawiono

2003-07-08

Twórcy

autor

Tadeusz Kaczorek

• Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland

Bibliografia

• Dai L. (1989): Singular Control Systems. - Berlin: Springer.
• Delin Chu and D.W.C. Ho (1999): Infinite eigenvalue assignment for singular systems. - Lin. Alg. Its Applicns., Vol. 298, No. 1, pp. 21-37.
• Kaczorek T. (1993): Linear Control Systems, Vols. 1 and 2.- New York: Wiley.
• Kaczorek T. (2000a): 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. (2000b): Perfect functional observers of singular continuous-time linear systems. - Mach. Intell. Robot. Contr., Vol. 4, No. 1, pp. 77-82.
• Kaczorek T. (2000c): Polynomial approach to pole shifting to infinity in singular systems by feedbacks. - Bull. Pol. Acad. Techn. Sci., Vol. 50, No. 2, pp. 1340-144.
• Kaczorek T. (2003): Relationship between infinite eigenvalue assignment for singular systems and solvability of polynomial matrix equations. -Proc. 11th Mediterranean Conf. Control and Automation MED'03, Rhodes, Greece, (on CD-ROM).
• Kučera V. (1972): A contribution to matrix equations. - IEEE Trans. Automat. Contr., Vol. AC-17, No. 6, pp. 344-347.
• Kučera V. (1979): Discrete Linear Control, The Polynomial Equation Approach. - Chichester: Wiley.
• Kučera V. (1981): Analysis and Design of Discrete Linear Control Systems. - Prague: Academia.