Partial impulse observability of linear descriptor systems

A research paper in this journal vol. 61, no. 3, pp. 427-434, 2012, by M. Darouach, provides a functional observer design for linear descriptor systems under the partial impulse observability condition. The observer design is correct, but there was a flaw in the algebraic criterion characterizing partial impulse observability. In the present paper, we derive a novel characterization of partial impulse observability in terms of a simple rank condition involving the system coefficient matrices and an alternative characterization in terms of the Wong sequences.(c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This paper presents a novel characterization of partial impulse observability in linear descriptor systems, providing a simple rank condition involving the system coefficient matrices and Wong sequences.