Exponential stabilization of non-autonomous delayed neural networks via Riccati equations Thuan, M.V., Hien, L.V. and Phat, V.N. 2014, Exponential stabilization of non-autonomous delayed neural networks via Riccati equations, Applied mathematics and computation, vol. 246, pp. 533-545, doi: 10.1016/j.amc.2014.08.045. Attached Files Name Description MIMEType Size Downloads Title Exponential stabilization of non-autonomous delayed neural networks via Riccati equations Author(s) Thuan, M.V. Hien, L.V. Phat, V.N. Journal name Applied mathematics and computation Volume number 246 Start page 533 End page 545 Total pages 13 Publisher Elsevier Place of publication Amsterdam, The Netherlands Publication date 2014-11-01 ISSN 0096-3003 Keyword(s) neural networks stabilization time-varying delays lyapunov function Matrix Riccati equations linear matrix inequalities Summary This paper concerns with the problem of exponential stabilization for a class of non-autonomous neural networks with mixed discrete and distributed time-varying delays. Two cases of discrete time-varying delay, namely (i) slowly time-varying; and (ii) fast time-varying, are considered. By constructing an appropriate Lyapunov-Krasovskii functional in case (i) and utilizing the Razumikhin technique in case (ii), we establish some new delay-dependent conditions for designing a memoryless state feedback controller which stabilizes the system with an exponential convergence of the resulting closed-loop system. The proposed conditions are derived through solutions of some types of Riccati differential equations. Applications to control a class of autonomous neural networks with mixed time-varying delays are also discussed in this paper. Some numerical examples are provided to illustrate the effectiveness of the obtained results. Language eng DOI 10.1016/j.amc.2014.08.045 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 C1.1 Refereed article in a scholarly journal ERA Research output type C Journal article Copyright notice ©2014, Elsevier Persistent URL http://hdl.handle.net/10536/DRO/DU:30087337 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Engineering Related Links Link Description Connect to published 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, 09:57:46 EST Fri, 14 Oct 2016, 04:06:25 EST Fri, 14 Oct 2016, 07:19:36 EST Fri, 14 Oct 2016, 07:26:10 EST Wed, 09 Nov 2016, 11:36:58 EST Thu, 01 Dec 2016, 09:32:08 EST Fri, 02 Dec 2016, 05:05:03 EST Tue, 06 Dec 2016, 10:30:23 EST Tue, 06 Dec 2016, 10:32:48 EST Tue, 06 Dec 2016, 10:33:46 EST Tue, 06 Dec 2016, 10:37:49 EST Sat, 16 Jun 2018, 02:31:23 EST Filtered Full Citation counts:   Cited 7 times in TR Web of Science Cited 7 times in Scopus Search Google Scholar Access Statistics: 80 Abstract Views, 1 File Downloads  -  Detailed Statistics Created: Thu, 01 Dec 2016, 09:32:08 EST

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