Saturated impulsive control for delayed nonlinear complex dynamical networks on time scales

•A novel scale-type delayed inequality based on the time scale theory is established.•Under the saturated impulsive controller, some scale-type exponential synchronization conditions are established.•Some simulations are presented by the chaotic systems and the delayed predator-prey model on differe...

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Bibliographic Details
Published in:Applied mathematical modelling 2023-07, Vol.119, p.54-67
Main Authors: Li, Liangliang, Jiang, Wenlin, Tu, Zhengwen
Format: Article
Language:English
Subjects:
Complex dynamical networks
Delayed inequality
Saturated impulsive control
Synchronization
Time scales
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Summary:•A novel scale-type delayed inequality based on the time scale theory is established.•Under the saturated impulsive controller, some scale-type exponential synchronization conditions are established.•Some simulations are presented by the chaotic systems and the delayed predator-prey model on different time domains. In this paper, the problem for saturated impulsive control of nonlinear complex dynamical networks with different delays on hybrid time domains is discussed. Firstly, an exponential estimated inequality of delayed dynamical system on time scales is derived. Secondly, combining with time scale theory, comparison principle and matrix measure, some different exponential scale-type synchronization conditions for delayed nonlinear complex networks on hybrid time domains under saturated impulsive controller are given. Further, the impulsive input is constrained by the saturation constraint. Finally, three examples with different time domains are given to prove the validity of our results.
ISSN:0307-904X
DOI:10.1016/j.apm.2023.02.009