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This paper investigates a kind of modified scaling function projective synchronization of uncertain chaotic systems using an adaptive controller. The given scaling function in the new method can be an equilibrium point, a periodic orbit, or even a chaotic attractor in the phase space. Based on LaSalle's invariance set principle, the adaptive control law is derived to make the states of two chaotic systems function projective synchronized. Some numerical examples are also given to show the effectiveness of the proposed method. 相似文献
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This paper gives the definition of function projective synchronization with less conservative demand for a scaling function,and investigates the function projective synchronization in partially linear drive-response chaotic systems.Based on the Lyapunov stability theory,it has been shown that the function projective synchronization with desired scaling function can be realized by simple control law.Moreover it does not need scaling function to be differentiable,bounded and non-vanished.The numerical simulations are provided to verify the theoretical result. 相似文献
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This paper investigates the function cascade synchronization of chaos system. Combining cascade synchronization scheme, parametric adaptive control and projective synchronization scheme, it proposes a new function cascade synchronization scheme to address a generalized-type synchronization problem of three famous chaotic systems: the Lorenz system, Liu system and RSssler system, the states of two identical chaotic systems with unknown parameters can be asymptotically synchronized by choosing different special suitable error functions. Numerical simulations are used to verify the effectiveness of the proposed synchronization techniques. 相似文献
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This paper investigates the function cascade synchronization of
chaos system. Combining cascade synchronization scheme, parametric
adaptive control and projective synchronization scheme, it proposes
a new function cascade synchronization scheme to address a
generalized-type synchronization problem of three famous chaotic
systems: the Lorenz system, Liu system and R\"{o}ssler system, the
states of two identical chaotic systems with unknown parameters can
be asymptotically synchronized by choosing different special
suitable error functions. Numerical simulations are used to verify
the effectiveness of the proposed synchronization techniques. 相似文献
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A new three-dimensional chaotic system and its modified generalized projective synchronization 下载免费PDF全文
Based on the Chen chaotic system,this paper constructs a new three-dimensional chaotic system with higher order nonlinear term and studies the basic dynamic behaviours of the system. The modified generalized projective synchronization has been observed in the coupled new three-dimensional chaotic system with unknown parameters. Furthermore,based on Lyapunov stability theory,it obtains the control laws and adaptive laws of parameters to make modified generalized projective synchronization of the coupled new three-dimensional chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
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Generalized projective synchronization of a class of chaotic (hyperchaotic) systems with uncertain
parameters 总被引:1,自引:0,他引:1 下载免费PDF全文
In this paper is investigated the generalized projective
synchronization of a class of chaotic (or hyperchaotic) systems, in
which certain parameters can be separated from uncertain parameters.
Based on the adaptive technique, the globally generalized projective
synchronization of two identical chaotic (hyperchaotic) systems is
achieved by designing a novel nonlinear controller. Furthermore, the
parameter identification is realized simultaneously. A sufficient
condition for the globally projective synchronization is obtained.
Finally, by taking the hyperchaotic Lü system as example, some
numerical simulations are provided to demonstrate the effectiveness
and feasibility of the proposed technique. 相似文献
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Adaptive generalized projective synchronization of two different chaotic systems with unknown parameters 总被引:1,自引:0,他引:1 下载免费PDF全文
This paper presents a general method of the generalized projective synchronization and the parameter identification between two different chaotic systems with unknown parameters. This approach is based on Lyapunov stability theory, and employs a combination of feedback control and adaptive control. With this method one can achieve the generalized projective synchronization and realize the parameter identifications between almost all chaotic (hyperchaotic) systems with unknown parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method. 相似文献
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We investigate the projective synchronization of different chaotic systems with nonlinearity inputs. Based on the adaptive technique, sliding mode control method and pole assignment technique, a novel adaptive projective synchronization scheme is proposed to ensure the drive system and the response system with nonlinearity inputs can be rapidly synchronized up to the given scaling factor. 相似文献
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We investigate the projective synchronization of different chaotic systems with nonlinearity inputs.Based on the adaptive technique,sliding mode control method and pole assignment technique,a novel adaptive projective synchronization scheme is proposed to ensure the drive system and the response system with nonlinearity inputs can be rapidly synchronized up to the given scaling factor. 相似文献
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Projective synchronization in coupled fractional order chaotic Rossler system and its control 下载免费PDF全文
This paper proposes a method to achieve projective synchronization of
the fractional order chaotic Rossler system. First, construct the
fractional order Rossler system's corresponding approximate integer
order system, then a control method based on a partially linear
decomposition and negative feedback of state errors is utilized on
the new integer order system. Mathematic analyses prove the
feasibility and the numerical simulations show the effectiveness of
the proposed method. 相似文献
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基于Lyapunov稳定性理论和分数阶系统稳定理论以 及分数阶非线性系统性质,提出了一种用来判定分数阶混沌系统是 否稳定的新的判定定理,并把该理论运用于对分数阶混沌系统的控制与 同步,同时给出了数学证明过程,严格保证了该方法的正确性与一般适用性. 运用所提出的稳定性定理,实现了异结构分数阶混沌系统的投影同步. 对分数阶Lorenz混沌系统与分数阶Liu混沌系统实现了投影同步; 针对四维超混沌分数阶系统,也实现了异结构投影同步. 该稳定性定理避 免了求解分数阶平衡点以及Lyapunov指数的问题,从而可以方便地选 择出控制律,并且所得的控制器结构简单、适用范围广. 数值仿真的结果取得了预期的效果,进一步验证了这一稳定性定理的 正确性及普遍适用性. 相似文献
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This paper constructs a new physical system, i.e., the fractional-order Rabinovich system, and investigates its stability, chaotic behaviors, chaotic control and matrix projective synchronization. Firstly, two Lemmas of the new system's stability at three equilibrium points are given and proved. Next, the largest Lyapunov exponent, the corresponding bifurcation diagram and the chaotic behaviors are studied. Then, the linear and nonlinear feedback controllers are designed to realize the system's local asymptotical stability and the global asymptotical stability, respectively. It's particularly significant that, the fractional matrix projective synchronization between two Rabinovich systems is achieved and two kinds of proofs are provided for Theorem 4.1. Especially, under certain degenerative conditions, the fractional matrix projective synchronization can be reduced to the complete synchronization, anti-synchronization, projective synchronization and modified projective synchronization of the fractional-order Rabinovich systems. Finally, all the theoretical analysis is verified by numerical simulation. 相似文献
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In this paper, a new method for controlling projective synchronization in coupled
chaotic systems is presented. The control method is based on a partially linear
decomposition and negative feedback of state errors. Firstly, the synchronizability
of the proposed projective synchronization control method is proved mathematically.
Then, three different representative examples are discussed to verify the
correctness and effectiveness of the proposed control method. 相似文献
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In this Letter, a new lag projective synchronization for fractional-order chaotic (hyperchaotic) systems is proposed, which includes complete synchronization, anti-synchronization, lag synchronization, generalized projective synchronization. It is shown that the slave system synchronizes the past state of the driver up to a scaling factor. A suitable controller for achieving the lag projective synchronization is designed based on the stability theory of linear fractional-order systems and the pole placement technique. Two examples are given to illustrate effectiveness of the scheme, in which the lag projective synchronizations between fractional-order chaotic Rössler system and fractional-order chaotic Lü system, between fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system, respectively, are successfully achieved. Corresponding numerical simulations are also given to verify the analytical results. 相似文献