Please use this identifier to cite or link to this item: https://doi.org/10.1137/060669061
Title: Algebraic characterizations for positive realness of descriptor systems
Authors: Chu, D. 
Tan, R.C.E. 
Keywords: Descriptor systems
Linear matrix inequality
Positive realness
Issue Date: 2008
Citation: Chu, D., Tan, R.C.E. (2008). Algebraic characterizations for positive realness of descriptor systems. SIAM Journal on Matrix Analysis and Applications 30 (1) : 197-222. ScholarBank@NUS Repository. https://doi.org/10.1137/060669061
Abstract: In this paper, algebraic characterizations for the positive realness of descriptor systems are studied. It is shown that the positive realness of descriptor systems can be determined by solving a linear matrix inequality, and hence the celebrated positive real lemma for standard state space systems is extended to descriptor systems. In addition, the lossless positive realness of both standard state space systems and descriptor systems is characterized explicitly based on the controllable staircase forms of standard state space systems and the generalized controllable staircase forms of descriptor systems, respectively. © 2008 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Matrix Analysis and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/102798
ISSN: 08954798
DOI: 10.1137/060669061
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