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Reachable sets bounding for generalized neural networks with interval time-varying delay and bounded disturbances

Thuan, Mai Viet, Tran, Hieu Manh and Trinh, Hieu 2016, Reachable sets bounding for generalized neural networks with interval time-varying delay and bounded disturbances, Neural computing and applications, In Press, pp. 1-12, doi: 10.1007/s00521-016-2580-5.

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Title Reachable sets bounding for generalized neural networks with interval time-varying delay and bounded disturbances
Author(s) Thuan, Mai Viet
Tran, Hieu Manh
Trinh, HieuORCID iD for Trinh, Hieu orcid.org/0000-0003-3438-9969
Journal name Neural computing and applications
Season In Press
Start page 1
End page 12
Total pages 12
Publisher Springer
Place of publication Berlin, Germany
Publication date 2016-09-19
ISSN 0941-0643
1433-3058
Keyword(s) generalized neural networks
forwards reachable sets
backwards reachable sets
Lyapunov-Krasovskii functional
linear matrix inequalities
Summary This paper deals with the problem of finding outer bound of forwards reachable sets and interbound of backwards reachable sets of generalized neural network systems with interval nondifferentiable time-varying delay and bounded disturbances. Based on constructing a suitable Lyapunov–Krasovskii functional and utilizing some improved Jensen integral-based inequalities, two sufficient conditions are derived for the existence of: (1) the smallest possible outer bound of forwards reachable sets and (2) the largest possible interbound of backwards reachable sets. These conditions are delay dependent and in the form of matrix inequalities, which therefore can be efficiently solved by using existing convex algorithms. Three numerical examples with simulation results are provided to demonstrate the effectiveness of our results.
Language eng
DOI 10.1007/s00521-016-2580-5
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, Natural Computing Applications Forum
Persistent URL http://hdl.handle.net/10536/DRO/DU:30087376

Document type: Journal Article
Collection: School of Engineering
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