Abstract
In this article, we give necessary and sufficient spectral conditions for various notions of strict positive realness for single-input single-output descriptor systems. These conditions only require calculation of eigenvalues of a single matrix. A characterisation of a Kalman–Yacubovich–Popov-like lemma for descriptor systems is also derived, and its implications for the stability of a class of switched descriptor systems are briefly discussed.
Acknowledgement
This work was supported by the Science Foundation Ireland, PI Award 07/IN.1/1901.