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1.
用两种不同的方法——主动控制同步法和自适应控制同步法实现超混沌Chen系统和超混沌Roessler系统的异结构同步,各自设计了不同的控制器,使得响应系统与驱动系统同步.当参数已知时,采用主动控制法,方法简单有效且不需要构造Lyapunov函数,实现同步的时间短;当系统参数未知或结构不确定时,基于Lyapunov稳定性理论,给出自适应同步控制器的系统设计过程和参数自适应律,使得系统达到同步同时识别未知参数,数值模拟验证了两种方法的有效性。 相似文献
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In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems' impulsive synchronisation are illustrated. Furthermore, we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems, thereby extending the applicable scope of impulsive synchronisation. Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme. 相似文献
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In this paper,an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed.The sufficient conditions of a class of integral-order hyperchaotic systems’ impulsive synchronisation are illustrated.Furthermore,we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems,thereby extending the applicable scope of impulsive synchronisation.Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme. 相似文献
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This paper investigates the control and synchronization of hyperchaotic Chen system based on the passive theory. By using two outputs, novel passive controllers are respectively designed to realize the globally asymptotical stability of the hyperchaotic Chen system and the error dynamical system, which avoids mistakes in Ref.[11], where function W(z) cannot guarantee that fo(z) is globally asymptotically stable via only one output and W(z) is the Lyapunov function of f0(z). Furthermore, numerical simulations are given to show the effectiveness of our method. 相似文献
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分数阶系统具有更大的密钥空间, 然而异结构的分数阶系统在保密通信领域更具有普遍性, 因此, 研究异结构的分数阶同步问题具有重要的意义. 本文讨论了分数阶超混沌Chen系统和分数阶超混沌Rössler系统的异结构同步问题, 基于分数阶系统稳定性理论, 应用主动控制同步法和自适应控制同步法来设计各自不同的控制器, 使得响应系统和驱动系统同步. 数值仿真表明了本文所研究方法的可行性和有效性. 相似文献
7.
This paper presents chaos synchronization between two different
four-dimensional (4D) hyperchaotic Chen systems by nonlinear feedback
control laws. A modified 4D hyperchaotic Chen system is obtained by
changing the nonlinear function of the 4D hyperchaotic Chen system,
furthermore, an electronic circuit to realize two different 4D
hyperchaotic Chen systems is designed. With nonlinear feedback
control method, chaos synchronization between two different 4D
hyperchaotic Chen systems is achieved. Based on the stability theory,
the functions of the nonlinear feedback control for synchronization
of two different 4D hyperchaotic Chen systems is derived, the range
of feedback gains is determined. Numerical simulations are shown to
verify the theoretical results. 相似文献
8.
Adaptive impulsive synchronization for a class of fractional-order chaotic and hyperchaotic systems 总被引:1,自引:0,他引:1
In this paper, the adaptive impulsive synchronization for a class of fractional-order chaotic and hyperchaotic systems with unknown Lipschitz constant is investigated. Firstly, based on the adaptive control theory and the impulsive differential equations theory, the impulsive controller, the adaptive controller and the parametric update law are designed, respectively. Secondly, by constructing the suitable response system, the original fractional-order error system can be converted into the integral-order one. Finally, the new sufficient criterion is derived to guarantee the asymptotical stability of synchronization error system by the Lyapunov stability theory and the generalized Barbalat's lemma. In addition, numerical simulations demonstrate the effectiveness and feasibility of the proposed adaptive impulsive control method. 相似文献
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Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh--Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
11.
利用主动-被动同步法实现了由单模激光驱动的超混沌系统的完全同步.根据稳定性理论,对系统进行了一般分解.以单模激光Lorenz系统和四维超混沌Chen系统为例,验证了这种方法的有效性.仿真模拟结果表明,这种同步方法是快速有效的.利用这种同步方法可以实现对任意高维混沌系统的混沌同步,具有一定的普适性. 相似文献
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In this paper, a function cascade synchronization method for fractional-order hyperchaotic systems is introduced to achieve the synchronization of two identical fractional-order hyperchaotic systems. It is shown that the method is not only theoretically rigorous, practically feasible, but also a more general one, which contains the complete synchronization, modified projective synchronization and anti-phase synchronization. In order to valid the effectiveness of the proposed method, we give two illustrative examples. Suitable controllers are designed and the function cascade synchronization for fractional-order hyperchaotic systems is achieved. Numerical simulations are performed and shown to fit with our analysis results. 相似文献
14.
A controller is designed to realize the synchronization between
chaotic systems with different orders. The structure of the
controller, the error equations and the Lyapunov functions are
determined based on stability theory. Hyperchaotic Chen system and
Rossler system are taken for example to demonstrate the method to be
effective and feasible. Simulation results show that all the state
variables of Rossler system can be synchronized with those of
hyperchaotic Chen system by using only one controller, and the error
signals approach zero smoothly and quickly. 相似文献
15.
ZHU Hai-Xing LI Yong-Zhi AN Hong-Li 《理论物理通讯》2008,50(10):919-924
In this paper, the modified cascade synchronization scheme is proposed to investigate the synchronization in discrete-time hyperchaotic systems. By choosing a general kind of proportional scaling error functions and based on rigorous control theory, we take the discrete-time hyperchaotic system due to Wang and 3D generalized Henon map as two examples to achieve the modified cascade synchronization, respectively. Numerical simulations are used to verify the effectiveness of the proposed technique. 相似文献
16.
Modified impulsive synchronization of fractional order hyperchaotic systems 总被引:1,自引:0,他引:1 下载免费PDF全文
In this paper, a modified impulsive control scheme is proposed to realize the complete synchronization of fractional order hyperchaotic systems. By constructing a suitable response system, an integral order synchronization error system is obtained. Based on the theory of Lyapunov stability and the impulsive differential equations, some effective sufficient conditions are derived to guarantee the asymptotical stability of the synchronization error system. In particular, some simpler and more convenient conditions are derived by taking the fixed impulsive distances and control gains. Compared with the existing results, the main results in this paper are practical and rigorous. Simulation results show the effectiveness and the feasibility of the proposed impulsive control method. 相似文献
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The chaos control of uncertain unified chaotic systems is considered. Cascade adaptive control approach with only one control input is presented to stabilize states of the uncertain unified chaotic system at the zero equilibrium point. Since an adaptive controller based on dynamic compensation mechanism is employed,the exact model of the unified chaotic system is not necessarily required. By choosing appropriate controller parameters,chaotic phenomenon can be suppressed and the response speed is tunable. Sufficient condition for the asymptotic stability of the approach is derived. Numerical simulation results confirm that the cascade adaptive control approach with only one control signal is valid in chaos control of uncertain unified chaotic systems. 相似文献
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