Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances

Nam, Phan T., Trinh, Hieu M. and Pathirana, Pubudu N. 2016, Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances, Automatica, vol. 72, pp. 153-157, doi: 10.1016/j.automatica.2016.06.007.

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Title Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances
Author(s) Nam, Phan T.
Trinh, Hieu M.ORCID iD for Trinh, Hieu M. orcid.org/0000-0003-3438-9969
Pathirana, Pubudu N.ORCID iD for Pathirana, Pubudu N. orcid.org/0000-0001-8014-7798
Journal name Automatica
Volume number 72
Start page 153
End page 157
Total pages 5
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2016-10
ISSN 0005-1098
1873-2836
Keyword(s) componentwise ultimate bounds
positive systems
time-varying delays
interval disturbances
nonlinear systems
Summary This paper presents a method to derive componentwise ultimate upper bounds and componentwise ultimate lower bounds for linear positive systems with time-varying delays and bounded disturbances. The disturbance vector is assumed to vary within a known interval whose lower bound may be different from zero. We first derive a sufficient condition for the existence of componentwise ultimate bounds. This condition is given in terms of the spectral radius of the system matrices which is easy to check and allows us to compute directly both the smallest componentwise ultimate upper bound and the largest componentwise ultimate lower bound. Then, by using the comparison method, we extend the obtained result to a class of nonlinear time-delay systems which has linear positive bounds. Two numerical examples are given to illustrate the effectiveness of the obtained results.
Language eng
DOI 10.1016/j.automatica.2016.06.007
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
Grant ID DP130101532
Copyright notice ©2016, Elsevier
Persistent URL http://hdl.handle.net/10536/DRO/DU:30085207

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