Dissipativity Analysis of Descriptor Systems Using Image Space Characterization
MetadataShow full item record
This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/3.0/
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.
Showing items related by title, author, creator and subject.
Hernandez, Francisco; Astroza, Rodrigo; Beltran, Juan Felipe; Zhang, Xihong ; Mercado, Vicente (2022)An energy dissipation mechanism made of a cable-pulleys system placed in series with a spring-damper device (fluid viscous) is experimentally studied. The system aims to provide high damping ratios for all the structural ...
Zhang, G.; Wang, S.; Liu, Wan-quan; Zuo, Z. (2009)This paper deals with the problem of H∞ norm computation for general symmetric systems and descriptor symmetric systems. The computation of H∞ norm for state-space symmetric systems is extended to descriptor symmetric ...
Qiao, L.; Zhang, Q.; Liu, Wan-Quan (2015)This paper investigates controllability and dissipativity analysis problem for linear systems with derivative input. First, we show that linear systems with derivative input can be changed into special class of singular ...