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. Attached Files Name Description MIMEType Size Downloads 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, 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 Related Links Link Description Connect to Elements publication management system Go to link with your DU access privileges   Connect to in press version Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Thu, 13 Oct 2016, 13:27:14 EST Thu, 13 Oct 2016, 13:27:50 EST Fri, 14 Oct 2016, 04:07:26 EST Fri, 14 Oct 2016, 07:20:41 EST Fri, 14 Oct 2016, 07:27:05 EST Wed, 07 Dec 2016, 17:53:01 EST Thu, 08 Dec 2016, 05:03:55 EST Thu, 08 Dec 2016, 10:28:54 EST Thu, 08 Dec 2016, 10:35:11 EST Thu, 08 Dec 2016, 10:36:21 EST Thu, 08 Dec 2016, 10:37:01 EST Fri, 21 Apr 2017, 13:46:38 EST Tue, 27 Jun 2017, 11:49:02 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 0 times in Scopus Search Google Scholar Access Statistics: 34 Abstract Views, 1 File Downloads  -  Detailed Statistics Created: Wed, 07 Dec 2016, 17:53:01 EST

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