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耦合控制实现一类超混沌系统同步
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2009-08-07
马占云
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本文主要研究了一类含非线性负电容的超混沌电路的控制同步问题，运用耦合控制原
理，设计了适合于该超混沌系统的线性耦合控制算法。该算法的实质是通过对超混沌系统施加耦合控制，使得耦合后的超混沌系统可以稳定到状态空间的一个低维流形上，结合线性化理论及渐进稳定性理论，将耦合控制同步问题归结为耦合控制系统的稳态误差是否随时间的增长趋近于零。为进一步验证本文所设计的耦合控制算法的性能，对所提出的算法进行数值仿真，仿真结果表明了本文所给算法的有效性和可行性。
关键词：耦合控制，超混沌，同步
Abstract: In this paper, the problem of control and synchronization for hyper-chaos
system including negative capacitor. The linear-couple-controlling algorithm could
be designed using couple-controlling theory. The given algorithm owned the proerpty
of making the hyper-chaos system stabilizing in the lower field, and the problem
of synchronization for the coupled-controlling hyper-chaos system could be
transformed to the one whether the stability error of the system is changing to zero
as the time is flying combing linearization with stability theory. At the same time,
the simulation on the presented algorithm could be carried out, and the results
illustrated that the algorithm is valid.
Key Words: coupled-control, hyper-chaos, synchronization
理，设计了适合于该超混沌系统的线性耦合控制算法。该算法的实质是通过对超混沌系统施加耦合控制，使得耦合后的超混沌系统可以稳定到状态空间的一个低维流形上，结合线性化理论及渐进稳定性理论，将耦合控制同步问题归结为耦合控制系统的稳态误差是否随时间的增长趋近于零。为进一步验证本文所设计的耦合控制算法的性能，对所提出的算法进行数值仿真，仿真结果表明了本文所给算法的有效性和可行性。
关键词：耦合控制，超混沌，同步
Abstract: In this paper, the problem of control and synchronization for hyper-chaos
system including negative capacitor. The linear-couple-controlling algorithm could
be designed using couple-controlling theory. The given algorithm owned the proerpty
of making the hyper-chaos system stabilizing in the lower field, and the problem
of synchronization for the coupled-controlling hyper-chaos system could be
transformed to the one whether the stability error of the system is changing to zero
as the time is flying combing linearization with stability theory. At the same time,
the simulation on the presented algorithm could be carried out, and the results
illustrated that the algorithm is valid.
Key Words: coupled-control, hyper-chaos, synchronization
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