Dissipativity Analysis of Descriptor Systems Using Image Space Characterization

Abstract EN

In this paper, we analyze the dissipativity for descriptor systems with impulsive behavior based on image space analysis.

First, a new image space is used to characterize state responses for descriptor systems.

Based on such characterization and an integral property of delta function, a new necessary and sufficient condition for the dissipativity of descriptor systems is derived using the linear matrix inequality (LMI) approach.

Also, some of the earlier related results on dissipativity for linear systems are investigated in the framework proposed in this paper.

Finally, two examples are given to show the validity of the derived results.