Bilateral Polynomial Equations With Unimodular Right-Hand-Side Matrices

• Autorzy: Kaczorek T.
• 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; polynomial equation; unimodular procedure; solution

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 4
• Strony: 511--514
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Kaczorek T.

• Warsaw University of Technology Faculty of Electrical Engineering Institute of Control and Industrial Electronics 00-662 Warszawa, Koszykowa 75, Poland

Bibliografia

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• [3] Kaczorek T. (1993): Linear Control Systems, Vols. 1 and 2. — New York: Wiley.
• [4] 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.
• [5] Kaczorek T. (2000b): Perfect functional observers of singular continuous-time linear systems. — Mach. Intell. Robot. Contr., Vol. 4, No. 1, pp. 77–82.
• [6] 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.
• [7] 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).
• [8] Kučera V. (1972): A contribution to matrix equations. — IEEE Trans. Automat. Contr., Vol. AC–17, No. 6, pp. 344–347.
• [9] Kučera V. (1979): Discrete Linear Control, The Polynomial Equation Approach.—Chichester: Wiley.
• [10] Kučera V. (1981): Analysis and Design of Discrete Linear Control Systems.—Prague: Academia.