Abstract

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.

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