Abstract
Recently, fractional complex Lorenz system has been interested by more and more scholars. In this article, based on the stability control theory, combined with the research achievements in mathematics, physics, automatic control and other scientific fields, the stability control of nonlinear dynamical system is discussed. First, we study the dynamic properties of a novel dynamic system, the fractional-order complex Lorenz system with time-delay. Then the feedback controllers are designed and the stability control of the fractional-order complex Lorenz system with time-delay is realized. At last, the numerical simulation is done by using Mat lab, and the simulation results are consistent well with the theoretical estimate, which points to the effectiveness of the feedback controllers.
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