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Partial state bounding with a pre-specified time of non-linear discrete systems with time-varying delays

Nam, Phan Thanh, Pathirana, Pubudu Nishantha and Trinh, Hieu 2016, Partial state bounding with a pre-specified time of non-linear discrete systems with time-varying delays, IET control theory and applications, vol. 10, no. 13, pp. 1496-1502, doi: 10.1049/iet-cta.2015.1251.

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Title Partial state bounding with a pre-specified time of non-linear discrete systems with time-varying delays
Author(s) Nam, Phan Thanh
Pathirana, Pubudu NishanthaORCID iD for Pathirana, Pubudu Nishantha orcid.org/0000-0001-8014-7798
Trinh, HieuORCID iD for Trinh, Hieu orcid.org/0000-0003-3438-9969
Journal name IET control theory and applications
Volume number 10
Issue number 13
Start page 1496
End page 1502
Total pages 7
Publisher IEEE
Place of publication Piscataway, N.J.
Publication date 2016-08-15
ISSN 1751-8644
1751-8652
Keyword(s) Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Instruments & Instrumentation
Engineering
nonlinear control systems
discrete systems
time-varying systems
delays
linear programming
fractals
fractal function
time-varying delays
nonlinear discrete systems
partial state bounding
Summary In this study, the authors address a new problem of finding, with a pre-specified time, bounds of partial states of non-linear discrete systems with a time-varying delay. A novel computational method for deriving the smallest bounds is presented. The method is based on a new comparison principle, a new algorithm for finding the infimum of a fractal function, and linear programming. The effectiveness of our obtained results is illustrated through a numerical example.
Language eng
DOI 10.1049/iet-cta.2015.1251
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, Institution of Engineering and Technology
Persistent URL http://hdl.handle.net/10536/DRO/DU:30084901

Document type: Journal Article
Collection: School of Engineering
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