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A novel approach to exponential stability of continuous-time Roesser systems with directional time-varying delays

Le, Hien and Trinh, Hieu 2017, A novel approach to exponential stability of continuous-time Roesser systems with directional time-varying delays, Journal of the Franklin Institute, vol. 354, no. 2, pp. 1023-1041, doi: 10.1016/j.jfranklin.2016.11.014.

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Title A novel approach to exponential stability of continuous-time Roesser systems with directional time-varying delays
Author(s) Le, Hien
Trinh, Hieu
Journal name Journal of the Franklin Institute
Volume number 354
Issue number 2
Start page 1023
End page 1041
Total pages 19
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2017-01
ISSN 0016-0032
Summary This paper addresses the problem of exponential stability analysis of two-dimensional (2D) linearcontinuous-time systems with directional time-varying delays. An abstract Lyapunov-like theorem whichensures that a 2D linear system with delays is exponentially stable for a prescribed decay rate is exploitedfor the first time. In light of the abstract theorem, and by utilizing new 2D weighted integral inequalitiesproposed in this paper, new delay-dependent exponential stability conditions are derived in terms oftractable matrix inequalities which can be solved by various computational tools to obtain maximumallowable bound of delays and exponential decay rate. Two numerical examples are given to illustrate theeffectiveness of the obtained results.
Language eng
DOI 10.1016/j.jfranklin.2016.11.014
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 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2016, The Franklin Institute
Persistent URL http://hdl.handle.net/10536/DRO/DU:30090282

Document type: Journal Article
Collection: School of Engineering
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