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An explicit criterion for finite-time stability of linear nonautonomous systems with delays

Hien, Le Van 2014, An explicit criterion for finite-time stability of linear nonautonomous systems with delays, Applied mathematics letters, vol. 30, pp. 12-18, doi: 10.1016/j.aml.2013.12.005.

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Title An explicit criterion for finite-time stability of linear nonautonomous systems with delays
Author(s) Hien, Le Van
Journal name Applied mathematics letters
Volume number 30
Start page 12
End page 18
Total pages 7
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2014-04
ISSN 0893-9659
Keyword(s) finite-time stability
nonautonomous systems
time-varying delay
metzler matrix
Summary In this paper, the problem of finite-time stability of linear nonautonomous systems with time-varying delays is considered. Using a novel approach based on some techniques developed for linear positive systems, we derive new explicit conditions in terms of matrix inequalities ensuring that the state trajectories of the system do not exceed a certain threshold over a pre-specified finite time interval. These conditions are shown to be relaxed for the Lyapunov asymptotic stability. A numerical example is given to illustrate the effectiveness of the obtained result.
Language eng
DOI 10.1016/j.aml.2013.12.005
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
090602 Control Systems, Robotics and Automation
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1.1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2013, Elsevier
Persistent URL http://hdl.handle.net/10536/DRO/DU:30087339

Document type: Journal Article
Collection: School of Engineering
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