2/2011 - 15 |
A New Filter Design Method for Disturbed Multilayer Hopfield Neural NetworksAHN, C. K. |
Extra paper information in |
Click to see author's profile in SCOPUS, IEEE Xplore, Web of Science |
Download PDF (605 KB) | Citation | Downloads: 1,740 | Views: 4,466 |
Author keywords
passive filtering, multilayer Hopfield neural networks, linear matrix inequality (LMI), external disturbance
References keywords
neural(11), networks(11), state(5), control(5), systems(4), delayed(4)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2011-05-30
Volume 11, Issue 2, Year 2011, On page(s): 95 - 98
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2011.02015
Web of Science Accession Number: 000293840500015
SCOPUS ID: 79958851524
Abstract
This paper investigates the passivity based filtering problem for multilayer Hopfield neural networks with external disturbance. A new passivity based filter design method for multilayer Hopfield neural networks is developed to ensure that the filtering error system is exponentially stable and passive from the external disturbance vector to the output error vector. The unknown gain matrix is obtained by solving a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed filter. |
References | | | Cited By «-- Click to see who has cited this paper |
[1] J. J. Hopfield. Neurons with grade response have collective computational properties like those of two-state neurons. Proc. Nat. Acad. Sci., 81:3088-3092, 1984. [CrossRef] [Web of Science Times Cited 4511] [SCOPUS Times Cited 5287] [2] M. M. Gupta, L. Jin, and N. Homma. Static and Dynamic Neural Networks. Wiley-Interscience, 2003. [CrossRef] [SCOPUS Times Cited 281] [3] Z. Wang, D. W. C. Ho, and X. Liu. State estimation for delayed neural networks. IEEE Trans. Neural Networks, 16:279-284, 2005. [CrossRef] [PubMed] [Web of Science Times Cited 359] [SCOPUS Times Cited 382] [4] Y. He, Q. G. Wang, M. Wu, and C. Lin. Delay-dependent state estimation for delayed neural networks. IEEE Trans. Neural Networks, 17:1077-1081, 2006. [CrossRef] [PubMed] [Web of Science Times Cited 187] [SCOPUS Times Cited 212] [5] L. Jin, P. N. Nikiforuk, and M. M. Gupta. Adaptive control of discrete time nonlinear systems using recurrent neural networks. IET Proceedings Control Theory and Application, 141:169-176, 1994. [CrossRef] [Web of Science Times Cited 58] [SCOPUS Times Cited 71] [6] Y. Liu, Z. Wang, and X. Liu. Design of exponential state estimators for neural networks with mixed time delays. Phys. Lett. A, 364:401-412, 2007. [CrossRef] [Web of Science Times Cited 118] [SCOPUS Times Cited 145] [7] H. Huang and G. Feng. Delay-dependent and generalized filtering for delayed neural networks. IEEE Trans. Circ. Syst. I, 56:846-857, 2009. [CrossRef] [Web of Science Times Cited 96] [SCOPUS Times Cited 104] [8] Z. Wang, Y. Liu, and X. Liu. State estimation for jumping recurrent neural networks with discrete and distributed delays. Neural Networks, 22:41-48, 2009. [CrossRef] [PubMed] [Web of Science Times Cited 231] [SCOPUS Times Cited 240] [9] J. C. Willems. Dissipative dynamical systems, part I: General theory. Arch. Rational Mech. Anal., 45:321-351, 1972. [CrossRef] [SCOPUS Times Cited 2644] [10] C. I. Byrnes, A. Isidori, and J. C. Willem. Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear system. IEEE Trans. Automat. Contr., 36:1228-1240, 1991. [CrossRef] [Web of Science Times Cited 932] [SCOPUS Times Cited 1143] [11] C. K. Ahn. Linear matrix inequality approach to passive filtering for delayed neural networks. Journal of Systems and Control Engineering, 224:1040-1047, 2010. [12] S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishinan. Linear matrix inequalities in systems and control theory. SIAM, Philadelphia, PA, 1994. [13] P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali. LMI Control Toolbox. The Mathworks Inc., 1995. Web of Science® Citations for all references: 6,492 TCR SCOPUS® Citations for all references: 10,509 TCR Web of Science® Average Citations per reference: 464 ACR SCOPUS® Average Citations per reference: 751 ACR TCR = Total Citations for References / ACR = Average Citations per Reference We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more Citations for references updated on 2024-11-23 08:52 in 71 seconds. Note1: Web of Science® is a registered trademark of Clarivate Analytics. Note2: SCOPUS® is a registered trademark of Elsevier B.V. Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site. |
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.