Synchronization of Nonlinear Complex Spatio-Temporal Networks Using Adaptive Boundary Control and Pinning Adaptive Boundary Control

IEEE Access

Jianbao Zhang¹  Fuad E. Alsaadi¹  Zhenxing Li²  Jianlong Qiu³  Chengdong Yang³  Tingwen Huang⁴ 

[1] Key Laboratory of Complex Systems and Intelligent Computing, Linyi University, Linyi, China;M University at Qatar, Doha, Qatar;School of Information Science and Technology, Linyi University, Linyi, China;Texas A&x0026;

关键词: Complex networks;    adaptive control;    nonlinear systems;   

DOI  :  10.1109/ACCESS.2018.2852489

来源: DOAJ

【 摘 要 】

There are many behaviors with spatio-temporal characteristics in nature. Complex spatiotemporal networks (CSNs)-based on partial differential equations are to process such issues. This paper studies two synchronization boundary control methods. An adaptive boundary controller is first studied to ensure synchronization of the CSNs. Furthermore, a pinning adaptive boundary controller is proposed to achieve synchronization of the CSNs. Two sufficient criteria of synchronization and pinning synchronization are respectively obtained. Finally, two numerical examples demonstrate the effectiveness of the proposed theoretical results.

【 授权许可】

Unknown