Brief paper: An alternative Kalman-Yakubovich-Popov lemma and some extensions
Automatica (Journal of IFAC)
Passivity test of immittance descriptor systems based on generalized Hamiltonian methods
IEEE Transactions on Circuits and Systems II: Express Briefs
An efficient projector-based passivity test for descriptor systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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In this paper, algebraic characterizations for the positive realness of descriptor systems are studied. It is shown that the positive realness of descriptor systems can be determined by solving a linear matrix inequality, and hence the celebrated positive real lemma for standard state space systems is extended to descriptor systems. In addition, the lossless positive realness of both standard state space systems and descriptor systems is characterized explicitly based on the controllable staircase forms of standard state space systems and the generalized controllable staircase forms of descriptor systems, respectively.