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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 731453, 21 pages
http://dx.doi.org/10.1155/2012/731453
Research Article

Event-Triggered State Estimation for a Class of Delayed Recurrent Neural Networks with Sampled-Data Information

College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China

Received 9 June 2012; Accepted 31 July 2012

Academic Editor: Sabri Arik

Copyright © 2012 Hongjie Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The paper investigates the state estimation problem for a class of recurrent neural networks with sampled-data information and time-varying delays. The main purpose is to estimate the neuron states through output sampled measurement; a novel event-triggered scheme is proposed, which can lead to a significant reduction of the information communication burden in the network; the feature of this scheme is that whether or not the sampled data should be transmitted is determined by the current sampled data and the error between the current sampled data and the latest transmitted data. By using a delayed-input approach, the error dynamic system is equivalent to a dynamic system with two different time-varying delays. Based on the Lyapunov-krasovskii functional approach, a state estimator of the considered neural networks can be achieved by solving some linear matrix inequalities, which can be easily facilitated by using the standard numerical software. Finally, a numerical example is provided to show the effectiveness of the proposed event-triggered scheme.