Geodesic
A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy
International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) no. 2, pp. 149-159.

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The question how the classical definition of the Smith zeros of an LTI continuous-time singular control system S(E,A,B,C,D) 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.
Keywords: singular control systems, multivariable zeros, state-space methods, Markov parameters
Mots-clés : układ singularny, zera niezmienne, metoda przestrzeni stanu, parametry Markova 
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Tokarzewski, J. A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy. International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) no. 2, pp. 149-159. http://geodesic.mathdoc.fr/item/IJAMCS_2004_14_2_a2/

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