MATRLX INEQUALITY CONDITIONS FOR DLSSIPATIVITY OF CONTINUOUS-TIME DESCRIPTOR SYSTEMS AND ITS APPLICATION TO SYNTHESIS OF CONTROL GAINS

摘要

This paper is concerned with a KYP-type result for descriptor systems. A matrix inequality is shown that provieds a necessary and sufficient condition of dissipativity of descriptor systems, without any additional restiction on the realization unlike previous results. Further, a dual matrix inequality condition is derived and applied to synthesis of control gains to attain dissipativity by solving LMIs.