STABILITY OF NEUTRAL SYSTEMS WITH COMMENSURATE DELAYS AND POLES ASYMPTOTIC TO THE IMAGINARY AXIS

This paper addresses the H∞-stability analysis of neutral time-delay systems with multiple commensurate delays, including those with poles asymptotic to the imaginary axis. The location of asymptotic poles is completely described, and easy-to-check necessary and sufficient conditions of H∞-stability...

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Bibliographic Details
Published in:SIAM journal on control and optimization 2011-01, Vol.49 (2), p.498-516
Main Authors: BONNET, Catherine, FIORAVANTI, André R, PARTINGTON, Jonathan R
Format: Article
Language:English
Subjects:
Adaptative systems
Applied sciences
Asymptotic methods
Asymptotic properties
Automatic Control Engineering
Computer Science
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Controllers
Delay
Exact sciences and technology
Neutrality
Optimization
Poles
Position (location)
Robustness
Stability
Stabilization
Studies
System theory
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Summary:This paper addresses the H∞-stability analysis of neutral time-delay systems with multiple commensurate delays, including those with poles asymptotic to the imaginary axis. The location of asymptotic poles is completely described, and easy-to-check necessary and sufficient conditions of H∞-stability are derived. Robustness relative to a change in the delay or the parameters is discussed. Moreover, H∞-stabilizability by rational controllers is considered, and, finally, several examples are given. [PUBLICATION ABSTRACT]
ISSN:0363-0129
1095-7138
DOI:10.1137/090776275