On dissipativity of continues-time singular systems

This paper addresses the dessipativity problem for linear time-invariant (LTI) continuous-time singular systems. A new Kalman-Popov-Yakubovish (KYP) lemma for dissipativity of singular systems is formulated in terms of a strict linear matrix inequality (LMI) condition. This lemma removes the equality constraints in the results recently reported in the literature. Moreover, by means of the proposed LMI condition, feedback controller synthesis for rendering the closed-loop dissipative is also investigated.