Function projective synchronization of complex networks with asymmetric coupling via adaptive and pinning feedback control

Lin Shi; Hong Zhu; Shouming Zhong; Kaibo Shi; Jun Cheng

doi:10.1016/j.isatra.2016.07.003

Function projective synchronization of complex networks with asymmetric coupling via adaptive and pinning feedback control

ISA Trans. 2016 Nov:65:81-87. doi: 10.1016/j.isatra.2016.07.003. Epub 2016 Jul 26.

Authors

Lin Shi¹, Hong Zhu², Shouming Zhong³, Kaibo Shi², Jun Cheng⁴

Affiliations

¹ School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China. Electronic address: shilinlavender@163.com.
² School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China.
³ School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China.
⁴ School of Science, Hubei University for Nationalities, Enshi Hubei 4450000, PR China.

PMID: 27473214
DOI: 10.1016/j.isatra.2016.07.003

Abstract

The problem on function projective synchronization (FPS) is investigated for complex networks via hybrid control. In contrast to existing works, the asymmetric coupling matrix was considered. Based on adaptive and pinning feedback control methods, new FPS criteria are proposed. Finally, three examples are provided to illustrate the effectiveness of the proposed methods.

Keywords: Complex networks; Function projective synchronization; Hybrid feedback control; Pinning control.