A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy

• Autorzy: Jerzy Tokarzewski
• Języki publikacji: EN

Abstrakty

EN

The question how the classical definition of the Smith zeros of an LTI continuous-time singular control system can be generalized and related to state-space methods is discussed. The zeros are defined as those complex numbers for which there exists a zero direction with a nonzero state-zero direction. Such a definition allows an infinite number of zeros (then the system is called degenerate). A sufficient and necessary condition for nondegeneracy is formulated. Moreover, some characterization of invariant zeros, based on the Weierstrass-Kronecker canonical form of the system and the first nonzero Markov parameter, is obtained.

Słowa kluczowe

EN

Markov parameters; singular control systems; state-space methods; multivariable zeros

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: 14
• Numer: 2
• Strony: 149-159

Daty

wydano

2004

otrzymano

2003-07-18

poprawiono

2004-03-24

Twórcy

autor

Jerzy Tokarzewski

• Military University of Technology, ul. Kaliskiego 2, 00-908 Warsaw, Poland

Bibliografia

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• Tokarzewski J. (2003): A characterization of invariant zeros in singular systems via the first nonzero Markov parameter and algebraic criterions of nondegeneracy. - Proc. 9th IEEE Int. Conf. Methods and Models in Automation and Robotics, MMAR 2003, Międzyzdroje, Poland, Vol. I, pp. 437-442.