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- Title
Fixed-time synchronization of multi-links complex network.
- Authors
Zhao, Hui; Li, Lixiang; Peng, Haipeng; Xiao, Jinghua; Yang, Yixian; Zheng, Mingwen
- Abstract
In the paper, the fixed-time and finite-time synchronizations of multi-links complex network are investigated. Compared with finite-time synchronization, the settling time of fixed-time synchronization is independent of initial conditions. For uncertain multi-links complex networks, this paper further analyzes synchronization mechanism and unknown parameters based on the drive-response concept and finite-time stability theory. Novel synchronization control criteria and the result of parameters identification are, respectively, obtained in a finite time by utilizing Lyapunov function and linear matrix inequality (LMI). Besides, we give other two versions of finite-time synchronization and parameters identification for uncertain multi-links complex network with impulsive control input. Finally, numerical examples are given to illustrate the effectiveness of our theoretical results.
- Subjects
SYNCHRONIZATION; STABILITY theory; LYAPUNOV functions; LINEAR matrix inequalities; NUMERICAL analysis
- Publication
Modern Physics Letters B, 2017, Vol 31, Issue 2, p-1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984917500087