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Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system 下载免费PDF全文
Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is designed, by which the controlled Chen system can be synchronized with a multi-scroll chaotic system including unknown parameters. The Lyapunov direct method is exploited to prove that the synchronization error and parameter identification error both converge to zero. Numerical simulation results verify the feasibility of the proposed method further. 相似文献
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In this Letter, the generalized projective synchronization of different chaotic systems with unknown parameters is investigated. By Lyapunov stability theory, the adaptive control method is proposed to achieve above synchronization phenomenon. Meanwhile, according to the invariance principle of differential equations, unknown parameter can be estimated accurately. The schemes are successfully applied to two groups of examples: the anti-phase synchronization between Lorenz system and Chen system; the complete synchronization between hyper-chaotic system and generalized Loren system. The corresponding numerical results are presented to verify the effectiveness of this method. 相似文献
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Controlling the Chen attractor using linear feedback based on parameter identification 总被引:2,自引:0,他引:2 下载免费PDF全文
In this paper we investigate the method for controlling the chaotic Chen system with unknown parameters using linear feedback functions based on parameter identification.The observer is applied to the identification of the unknown parameters of Chen system.Then an efficient feedback function is designed for controlling the Chen system.Numerical simulations are provided to show the effectiveness and feasibility of the developed controller. 相似文献
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提出一种改进的克隆选择算法用于解决混沌系统的参数辨识问题.该算法利用抗体的高频变异和受体编辑两种机制有效平衡算法的全局探索与局部开发,并引入向精英抗体学习策略进一步提高算法的收敛质量.对10个优化问题的实验表明:所提出算法在求解精度、收敛速度以及稳定性方面具有更好的性能.以参数未知统一混沌系统的同步控制为研究对象,合理设计同步控制器,并对同步系统的稳定性进行理论分析.通过对同步比例因子的设置,实现统一混沌系统的完全同步、反同步、投影同步等多种同步方式.仿真实验结果表明该方法能够实现对未知系统参数的精确辨识以及驱动-响应系统的有效同步控制,验证了所提方法的可行性与有效性. 相似文献
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In this paper, the adaptive synchronization and lag synchronization are considered for uncertain dynamical system with time delay based on parameter identification and a novel control method is then further given using the Lyapunov functional method. With this new and effective method, parameter identification and lag synchronization can be achieved simultaneously. Simulation results are given to justify the theoretical analysis in this paper. 相似文献
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In this paper, the finite-time stochastic combination synchronization of three different chaotic systems is investigated. Based on the adaptive technique and the properties of Weiner process, a novel sufficient condition is obtained to ensure combination synchronization under stochastic perturbations. Moreover, a secure communication scheme based on the adaptive combination synchronization of three different systems, i.e., the Lorenz system, Chen system, and Lu? system, with uncertainties, unknown parameters, and stochastic perturbation is presented. The simulation results show the feasibility of the proposed method. 相似文献
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Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization 下载免费PDF全文
In this paper,the asymptotical p-moment stability of stochastic impulsive differential equations is studied and a comparison theory to ensure the asymptotical p-moment stability of the trivial solution is established,which is important for studying the impulsive control and synchronization in stochastic systems.As an application of this theory,we study the problem of chaos synchronization in the Chen system excited by parameter white-noise excitation,by using the impulsive method.Numerical simulations verify the feasibility of this method. 相似文献
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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
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Parameters identification and adaptive full state hybrid projective synchronization of chaotic (hyper-chaotic) systems 总被引:1,自引:0,他引:1
Based on the active control idea and the invariance principle of differential equations, a general scheme of adaptive full state hybrid projective synchronization (FSHPS) and parameters identification of a class of chaotic (hyper-chaotic) systems with linearly dependent uncertain parameters is proposed in this Letter. With this effective scheme parameters identification and FSHPS of chaotic and hyper-chaotic systems can be realized simultaneously. Numerical simulations on the chaotic Chen system and the hyper-chaotic Chen system are presented to verify the effectiveness of the proposed scheme. 相似文献
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In this paper, we propose a new method to realize drive-response system synchronization control and parameter identification for a class of generalized Julia sets. By means of this method, the zero asymptotic sliding variables are applied to control the fractal identification. Furthermore, the problems of synchronization control are solved in the case of a drive system with unknown parameters, and the unknown parameters of the drive system can be identified in the asymptotic synchronization process. The results of simulation examples demonstrate the effectiveness of this new method. Particularly, the basic Julia set is also discussed. 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
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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
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The zero-asymptotic property of sliding variables in discrete systems is extended to a continuous one and applied to partial
differential equations which describe spatiotemporal chaos. A method of chaos synchronization and parameter identification
is proposed. The synchronization controllers and the parameter recognizers are designed. The uncertain Gray-Scott system is
taken as an example to verify the effectiveness of the method. Simulation results show that the identification variables in
the parameter recognizers may take the place of the unknown parameters in both target and response systems. Global synchronization
of the two spatiotemporal chaotic systems with uncertain parameters may be realized quickly after controllers are added.
Supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20052151) and the Innovative Team Program
of Liaoning Educational Committee 相似文献