Stability and positive realness of time-delay systems

Authors
Mahmoud, MS Xie, LH
Citation
Ms. Mahmoud et Lh. Xie, Stability and positive realness of time-delay systems, J MATH ANAL, 239(1), 1999, pp. 7-19
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
239
Issue
1
Year of publication
1999
Pages
7 - 19
Database
ISI
SICI code
0022-247X(19991101)239:1<7:SAPROT>2.0.ZU;2-R
Abstract
In this paper, a class of linear time invariant systems with state delay is considered. A state-space characterization of the conditions for positive realness of the time-delay system is provided which extends existing positi ve real results for systems without delay. The developed results are expres sed in terms of linear matrices or algebraic Riccati inequalities. (C) 1999 Academic Press.