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https://hdl.handle.net/2440/101066
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Type: | Journal article |
Title: | Local synchronization of chaotic neural networks with sampled-data and saturating actuators |
Author: | Wu, Z. Shi, P. Su, H. Chu, J. |
Citation: | IEEE Transactions on Cybernetics, 2014; 44(12):2635-2645 |
Publisher: | Institute of Electrical and Electronics Engineers |
Issue Date: | 2014 |
ISSN: | 2168-2267 2168-2275 |
Statement of Responsibility: | Zheng-Guang Wu, Peng Shi, Hongye Su, and Jian Chu |
Abstract: | This paper investigates the problem of local synchronization of chaotic neural networks with sampled-data and actuator saturation. A new time-dependent Lyapunov functional is proposed for the synchronization error systems. The advantage of the constructed Lyapunov functional lies in the fact that it is positive definite at sampling times but not necessarily between sampling times, and makes full use of the available information about the actual sampling pattern. A local stability condition of the synchronization error systems is derived, based on which a sampled-data controller with respect to the actuator saturation is designed to ensure that the master neural networks and slave neural networks are locally asymptotically synchronous. Two optimization problems are provided to compute the desired sampled-data controller with the aim of enlarging the set of admissible initial conditions or the admissible sampling upper bound ensuring the local synchronization of the considered chaotic neural networks. A numerical example is used to demonstrate the effectiveness of the proposed design technique. |
Keywords: | Actuator saturation; chaotic systems; local synchronization; neural networks; sampled-data control |
Rights: | © 2014 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. |
DOI: | 10.1109/TCYB.2014.2312004 |
Grant ID: | http://purl.org/au-research/grants/arc/DP140102180 |
Published version: | http://dx.doi.org/10.1109/tcyb.2014.2312004 |
Appears in Collections: | Aurora harvest 3 Electrical and Electronic Engineering publications |
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