A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy
Jerzy Tokarzewski (2004)
International Journal of Applied Mathematics and Computer Science
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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...