The Relationship Between the Infinite Eigenvalue Assignment for Singular Systems and the Solvability of Polynomial Matrix Equations

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.

Słowa kluczowe

EN

assignment; infinite eigenvalue; singular; polynomial matrix equation; system; reliationship

PL

wartość własna; układ singularny; równanie macierzowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 2
• Strony: 161--167
• Opis fizyczny: Bibliogr. 11 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. (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. (2002a): Perfect functional observers of singular continuous-time linear systems. — Mach. Intell. Robot. Contr., Vol. 4, No. 1, pp. 77–82.
• [6] Kaczorek T. (2002b): 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.
• [7] Kaliath T. (1980): Linear Systems. — Englewood Cliffs: Prentice Hall.
• [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.
• [11] Wonham W.M. (1979): Linear Multivariable Control: A Geometric Approach.—New York: Springer.