A Strict LMI Condition for ESPR Property of Continuous-Time Descriptor Systems

Abstract

In this paper, a new strict linear matrix inequality (LMI) condition for extended strictly positive real (ESPR) characterization of continuous-time descriptor systems is addressed. Compared with existing nonstrict LMI conditions, the proposed conditions are expressed in terms of definite LMIs with no equality constraint, which are more tractable and reliable in numerical computation. A numerical example is demonstrated to verify the theoretical results obtained in this paper. © Springer-Verlag Berlin Heidelberg 2007.