Exponential Stability Criteria for Feedback Controlled Complex Dynamical Networks with Time Delay

Time delays commonly exist in the real world, so it is necessary to study the control of such systems with time delay. In this work, we control complex dynamical networks with time delay onto their homogeneous stationary state by applying local feedback injections to a small fraction of nodes. Both asymptotical stability and exponential stability criteria are derived by Lyapunov's direct method. The efficiency of the derived results was illustrated by simulation study.

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