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Based on the Routh--Hurwitz criterion, this paper investigates the
stability of a new chaotic system. State feedback controllers are
designed to control the chaotic system to the unsteady equilibrium
points and limit cycle. Theoretical analyses give the range of value
of control parameters to stabilize the unsteady equilibrium points of
the chaotic system and its critical parameter for generating Hopf
bifurcation. Certain nP periodic orbits can be stabilized by
parameter adjustment. Numerical simulations indicate that the method
can effectively guide the system trajectories to unsteady equilibrium
points and periodic orbits. 相似文献
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In this paper, we investigate the problem of Hopf bifurcation and chaos control in a new chaotic system. A hybrid control strategy using both state feedback and parameter control is proposed. Theoretical analysis shows that the Hopf bifurcation critical value can be changed via hybrid control. Meanwhile, this control strategy can also control the chaos state. The direction and stability of bifurcating periodic solutions are determined by the normal form theory and the center manifold theorem. Finally, numerical simulations are carried out to illustrate the effectiveness of the main theoretical results. 相似文献
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Theoretical and experimental study of Chen chaotic system with notch filter feedback control 下载免费PDF全文
Since the past two decades, the time delay feedback control method has attracted more and more attention in chaos control studies because of its simplicity and efficiency compared with other chaos control schemes. Recently, it has been proposed to suppress low-dimensional chaos with the notch filter feedback control method, which can be implemented in a laser system. In this work, we have analytically determined the controllable conditions for notch filter feedback controlling of Chen chaotic system in terms of the Hopf bifurcation theory. The conditions for notch filter feedback controlled Chen chaoitc system having a stable limit cycle solution are given. Meanwhile, we also analysed the Hopf bifurcation direction, which is very important for parameter settings in notch filter feedback control applications. Finally, we apply the notch filter feedback control methods to the electronic circuit experiments and numerical simulations based on the theoretical analysis. The controlling results of notch filter feedback control method well prove the feasibility and reliability of the theoretical analysis. 相似文献
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结合范式方法对传输控制协议和随机早期检测(TCP-RED)离散反馈系统中出现的不同种类的边界碰撞分岔现象进行了分析.随着系统参数的变化, 系统将经历边界碰撞分岔并从周期稳态向混沌态跃变, 导致系统中瞬时队列的长度出现剧烈振荡, 严重影响系统性能. 根据不动点的线性稳定条件, 提出了一种混沌控制方法,通过对系统不动点邻域内的状态变量进行扰动, 将系统引导至不动点. 该方法能显著提高TCP-RED系统的性能和资源利用率. 仿真结果证明了该方法的有效性.
关键词:
传输控制协议
随机早期检测
边界碰撞分岔
混沌控制 相似文献
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Hopf bifurcation control via a dynamic state-feedback control 总被引:1,自引:0,他引:1
To relocate two Hopf bifurcation points, simultaneously, to any desired locations in n-dimensional nonlinear systems, a novel dynamic state-feedback control law is proposed. Analytical schemes to determine the control gains according to the conditions for the emergence of Hopf bifurcation are derived. To verify the effectiveness of the proposed control law, numerical examples are provided. 相似文献
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Hopf bifurcation analysis and circuit implementation for a novelfour-wing hyper-chaotic system 下载免费PDF全文
In the paper, a novel four-wing hyper-chaotic system is proposed and analyzed. A rare dynamic phenomenon is found that this new system with one equilibrium generates a four-wing-hyper-chaotic attractor as parameter varies. The system has rich and complex dynamical behaviors, and it is investigated in terms of Lyapunov exponents, bifurcation diagrams, Poincare′ maps, frequency spectrum, and numerical simulations. In addition, the theoretical analysis shows that the system undergoes a Hopf bifurcation as one parameter varies, which is illustrated by the numerical simulation. Finally, an analog circuit is designed to implement this hyper-chaotic system. 相似文献
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