期刊
AIMS MATHEMATICS
卷 7, 期 7, 页码 12981-12999出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022719
关键词
fractional-order; complex network; synchronization; impulsive control; uncertainty; delay
资金
- Industry-University Cooperation and Education Projects of the Ministry of Education [202101127002,202102015028]
- Natural Science Foundation of Fujian Province [2019J01815]
This paper investigates the global synchronization problems of fractional-order complex dynamical networks with uncertain inner coupling and multiple time delays. A generalized delayed comparison principle with fractional-order and impulsive effects is established to overcome the difficulties caused by various delays and uncertainties. Based on the Lyapunov stability theory and mixed impulsive control technologies, new synchronization criteria for concerned complex dynamical networks are derived. The theoretical results obtained in this paper can enhance the value of previous related works.
This paper investigates the global synchronization problems of fractional-order complex dynamical networks with uncertain inner coupling and multiple time delays. In particular, both internal time delays and coupling time delays are introduced into our model. To overcome the difficulties caused by various delays and uncertainties, a generalized delayed comparison principle with fractional-order and impulsive effects is established by using the Laplace transform. Based on the Lyapunov stability theory and mixed impulsive control technologies, some new synchronization criteria for concerned complex dynamical networks are derived. In addition, the synchronization criteria are related to the impulsive interval, network topology structure, fractional-order, and control gains. The theoretical results obtained in this paper can enhance the value of previous related works. Finally, numerical simulations are presented to show the correctness of our main results.
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