Lag synchronization of neural networks with mixed delays via adaptive semi-periodically intermittent control and its application on mechatronics systems. (May 2017)

• Record Type: Journal Article
• Authors: Li, Ning; Sun, Haiyi; Jing, Xin; Zhang, Qingling
• Is Part Of: Advances in mechanical engineering. Volume 9:Number 5(2017:May)
• Publication Date: 2017-05
• Subjects: Neural networks -- mixed delays -- lag synchronization -- adaptive control -- semi-periodically intermittent control; Mechanical engineering -- Periodicals; 621.05
• DOI: 10.1177/1687814017697896
• Languages: English
• ISSNs: 1687-8132

Abstract

In this article, the lag exponential synchronization for a class of neural networks with distributed delays and discrete delays (mixed delays) and its application on mechatronics systems are studied via adaptive semi-periodically intermittent control. Using the adaptive control theory and the Lyapunov stability theory combined with the method of intermittent control, a simple but robust adaptive semi-periodically intermittent controller and impulse controller are designed. Via the proposed control methods, the response system can lag-synchronize with the drive system, and the less conservative results are obtained. In the original references, the control width should be larger than the time delay and the time delay should be smaller than the noncontrol width. While in this article these strict assumptions can be removed. Moreover, the control time and the control rate may not be constants. This leads to a larger application scope for our method. Finally, numerical simulations about practical mechatronics systems are exploited to show the effectiveness of the results.