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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.

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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
Collection: School of Engineering
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