Stability and stabilizability of linear time-delay systems on homogeneous time scales

Stability and stabilizability of linear time-delay systems on homogeneous time scales

This paper provides necessary and sufficient conditions for the exponential stability of a linear retarded time-delay system defined on a homogeneous time scale. Conditions are formulated in terms of a characteristic equation associated with the system. This approach is then used to develop feedback...

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Bibliographic Details
Published in:Proceedings of the Estonian Academy of Sciences Vol. 66; no. 2; p. 124
Main Authors: Belikov, Juri, Bartosiewicz, Zbigniew
Format: Journal Article
Language:English
Published: Tallinn Estonian Academy Publishers 01-01-2017
Teaduste Akadeemia Kirjastus (Estonian Academy Publishers)
Subjects:
Analysis
Control systems
Criteria
Feedback
Feedback (Psychology)
Mathematical analysis
Stability
Time delay systems
Online Access:Get full text
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Description
Summary:This paper provides necessary and sufficient conditions for the exponential stability of a linear retarded time-delay system defined on a homogeneous time scale. Conditions are formulated in terms of a characteristic equation associated with the system. This approach is then used to develop feedback stabilizability criteria.
ISSN:1736-6046
1736-7530
DOI:10.3176/proc.2017.2.02