Cluster Computing

, Volume 22, Supplement 2, pp 2639–2644 | Cite as

Design of the linear controller of a class of time-delay chaos

  • Ting You
  • Yueli HuEmail author


Chaos control has become one of the hottest issues in the current control field. According to the nonlinear dynamic characteristics of chaotic system and the stability principle of delay system, this paper discusses the control and synchronization of the time-delay chaotic system. It intends to research the time-delay chaotic system with a new method and design a feasible linear controller to realize the time-delay chaos control and synchronization of the Lorenz system. At the same time, this algorithm can not only control the chaotic system with the unknown time delays effectively, but also be extended to a class of time-delay chaos with different time delays. Finally, the numerical simulation results verify the effectiveness of the proposed control algorithm.


The Lorenz system Chaos synchronization Lyapunov–Razumikhin function Time delay Linear controller 



This research is supported by the National Nature Science Foundation of China (No. 61603211), and Zhejiang Province Basic Public Welfare Research Project (LGG18E050003).


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© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  1. 1.School of Mechatronics Engineering and AutomationShanghai UniversityShanghaiChina
  2. 2.School of Electrical and Information EngineeringQuZhou CollegeQuZhouChina

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