The relationship between the infinite eigenvalue assignment for singular systems and the solvability of polynomial matrix equations

• Autorzy: Tadeusz Kaczorek
• 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

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 2
• Strony: 161-167

Daty

wydano

2003

otrzymano

2002-10-22

Twórcy

autor

Tadeusz Kaczorek

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

Bibliografia

• Dai L. (1989): Singular Control Systems. - Berlin: Springer.
• Chu D. and Ho D.W.C. (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. (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. (2002a): Perfect functional observers of singular continuous-time linear systems. - Mach. Intell.Robot. Contr., Vol. 4, No. 1, pp. 77-82.
• 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.
• Kaliath T. (1980): Linear Systems. -Englewood Cliffs: Prentice Hall.
• 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.
• Wonham W.M. (1979): Linear Multivariable Control: A Geometric Approach. -New York: Springer.