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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 6832575, 8 pages
https://doi.org/10.1155/2017/6832575
Research Article

The Controller Design of the Epilepsy Therapy Apparatus

1College of Sciences, Northeastern University, Shenyang, China
2College of Science, Shenyang Jianzhu University, Shenyang, China

Correspondence should be addressed to Haiyi Sun; moc.361@xx_yhs

Received 27 June 2017; Revised 2 September 2017; Accepted 13 September 2017; Published 25 October 2017

Academic Editor: Quanxin Zhu

Copyright © 2017 Ning Li et al. 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

Deep brain stimulation (DBS) is one of the effective treatments of epilepsy. Based on the Lyapunov stability theory combined with the method of the periodically intermittent control and adaptive control, the abnormal synchronization neural network models with high frequency oscillation are achieved with multilag synchronization in this paper. Some simple criteria are derived for the multilag synchronization of the coupled neural networks with coupling delays. The adaptive periodically intermittent control which we have obtained can cut down control cost. The sufficient conditions of this paper for abnormal neural network multilag synchronization are less conservative and can be applied in a wider area. Finally, simulation results show the effectiveness of the proposed control strategy. The design of controllers and control strategy may provide a potential electrical stimulation therapy on neurological diseases caused by abnormal synchronization. And they can provide technical support for epilepsy treatment apparatus research and development.