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1.
针对一类分数阶混沌系统的同步问题, 提出基于比较系统理论的脉冲同步方法. 通过构造新的响应系统, 可将原分数阶同步误差系统转化为整数阶同步误差系统, 基于Lyapunov稳定性理论与脉冲微分方程理论, 给出一组新的分数阶混沌系统全局渐近同步判据. 特别地, 当脉冲间距与脉冲控制增益为常数时, 可获得更为简单和实用的同步判据. 与现有结果相比, 所得充分条件更为严格和实用. 通过对分数阶Chen系统同步问题的数值仿真研究, 验证了所提方法的有效性和可行性. 相似文献
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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
4.
An improved impulsive control approach to robust lag synchronization between two different chaotic systems
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In this paper, a novel robust impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the theory of impulsive functional differential equations and a new differential inequality, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined region. Finally, some numerical simulations for the Lorenz system and Chen system are given to demonstrate the effectiveness and feasibility of the proposed method. Compared with the existing results based on so-called dual-stage impulsive control, the derived results reduce the complexity of impulsive controller, moreover, a larger stable region can be obtained under the same parameters, which can be shown in the numerical simulations finally. 相似文献
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Global impulsive exponential synchronization of stochastic perturbed chaotic delayed neural networks
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In this paper, the global impulsive exponential synchronization
problem of a class of chaotic delayed neural networks (DNNs) with
stochastic perturbation is studied. Based on the Lyapunov stability
theory, stochastic analysis approach and an efficient impulsive
delay differential inequality, some new exponential synchronization
criteria expressed in the form of the linear matrix inequality (LMI) are
derived. The designed impulsive controller not only can globally
exponentially stabilize the error dynamics in mean square, but also
can control the exponential synchronization rate. Furthermore, to
estimate the stable region of the synchronization error dynamics, a
novel optimization control algorithm is proposed, which can deal
with the minimum problem with two nonlinear terms coexisting in LMIs
effectively. Simulation results finally demonstrate the
effectiveness of the proposed method. 相似文献
6.
Robust lag synchronization between two different chaotic systems via dual-stage impulsive control
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In this paper, an improved impulsive lag synchronization scheme for
different chaotic systems with parametric uncertainties is proposed.
Based on the new definition of synchronization with error bound and
a novel impulsive control scheme (the so-called dual-stage impulsive
control), some new and less conservative sufficient conditions are
established to guarantee that the error dynamics can converge to a
predetermined level, which is more reasonable and rigorous than the
existing results. In particular, some simpler and more convenient
conditions are derived by taking the same impulsive distances and
control gains. Finally, some numerical simulations for the Lorenz system
and the Chen system are given to demonstrate the effectiveness and
feasibility of the proposed method. 相似文献
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The problem of reliable impulsive synchronization for a
class of nonlinear chaotic systems has been investigated in this
paper. Firstly a reliable impulsive controller is designed by using
the impulsive control theory. Then by the uniform asymptotic
stability criteria of systems with impulsive effects, some
sufficient conditions for reliable impulsive synchronization between
the drive system and the response system are obtained. Numerical
simulations are given to show the effectiveness of the proposed
method. 相似文献
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In this paper,some novel sufficient conditions for asymptotic stability of impulsive control systems are presented by comparison systems.The results are used to obtain the conditions under which the chaotic systems can be asymptotically controlled to the origin via impulsive control.Compared with some existing results,our results are more relaxed in the sense that the Lyapunov function is required to be nonincreasing only along a subsequence of switchings.Moreover,a larger upper bound of impulsive intervals for stabilization and synchronization is obtained. 相似文献
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Impulsive synchronization of two nonidentical chaotic systems with time-varying delay 总被引:1,自引:0,他引:1
This Letter investigates synchronization of two nonidentical Lur'e systems with time-varying delay and parameter mismatches via impulsive control. Based on the theory of impulsive functional differential equations, sufficient conditions for impulsive synchronization with a bound on the synchronization error are derived. An illustrative example is provided to validate the proposed method. 相似文献
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A practical approach to robust impulsive lag synchronization between different chaotic systems 总被引:2,自引:0,他引:2
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In this paper, a practical impulsive lag synchronization scheme for
different chaotic systems with parametric uncertainties is proposed.
By virtue of the new definition of synchronization and the theory of
impulsive differential equations, some new and less conservative
sufficient conditions are established to guarantee that the error
dynamics can converge to a predetermined level. The idea and
approach developed in this paper can provide a more practical
framework for the synchronization between identical and different
chaotic systems in parameter perturbation circumstances. Simulation
results finally demonstrate the effectiveness of the method. 相似文献
12.
LI Yang LIAO Xiao-Feng LI Chuan-Dong CHEN Guo 《理论物理通讯》2007,47(6):1067-1072
The issue of impulsive synchronization of the coupled chaotic laser plasma system is investigated. A new framework for impulsive synchronization of such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. We derive some sufficient conditions for the synchronization of a laser plasma system via impulsive control with the varying impulsive intervals, which allows us to derive the impulsive synchronization law easily. To illustrate the effectiveness of the proposed results, two numerical examples are given. 相似文献
13.
In this paper, a new chaotic system without linear term is presented by ordinary differential equations, and some basic dynamical properties are studied. Moreover, the impulsive synchronization problem of the new chaotic systems is investigated by using uncertain impulsive control matrix. Using the impulsive theory, sufficient conditions are derived for the synchronization of new chaotic systems. Numerical simulation example is provided to verify the effectiveness of the proposed approach. 相似文献
14.
Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes
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In this paper, we investigate the impulsive synchronization between two coupled complex networks with time-delayed dynamical nodes. Based on the Lyapunov stability, the linear feedback control and the impulsive control theories, the linear feedback and the impulsive controllers are designed separately. By using the generalized Barbalat's lemma, the global asymptotic impulsive synchronization of the drive—response complex networks is derived and some corresponding sufficient conditions are also obtained. Numerical examples are presented to verify the effectiveness and the correctness of the synchronization criteria. 相似文献
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In this paper,cluster synchronization in community network with nonidentical nodes and impulsive effects is investigated.Community networks with two kinds of topological structure are investigated.Positive weighted network is considered first and external pinning controllers are designed for achieving cluster synchronization.Cooperative and competitive network under some assumptions is investigated as well and can achieve cluster synchronization with only impulsive controllers.Based on the stability analysis of impulsive differential equation and the Lyapunov stability theory,several simple and useful synchronization criteria are derived.Finally,numerical simulations are provided to verify the effectiveness of the derived results. 相似文献
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This paper reports that an impulsive control theory for synchronization of nonlinear
R?ssler chaotic systems is developed. A new framework for impulsive
synchronization between such chaotic systems is presented, which makes the
synchronization error system a linear impulsive control system. Therefore, it is
easy to derive the impulsive synchronization law. The proposed impulsive control
scheme is illustrated by nonlinear R?ssler chaotic systems and the simulation
results demonstrate the effectiveness of the method. 相似文献
17.
Zhijun Peng Yang Li Xiaofeng Liao Chuandong Li 《International Journal of Theoretical Physics》2008,47(3):797-804
In this Letter the issue of impulsive synchronization of the Lü chaotic system is developed. We propose an impulsive synchronization
scheme of the Lü chaotic system including chaotic systems. Some new and sufficient conditions on varying impulsive distance
are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular,
some simple conditions are derived in synchronizing the systems by equal impulsive distances. The proposed impulsive synchronization
scheme is applied to the Lü chaotic system and the numerical example demonstrates the effectiveness of the method. The boundaries
of the stable regions are also estimated. 相似文献
18.
以光滑三次型磁控忆阻器的蔡氏电路为例, 研究了两个同构忆阻混沌系统的脉冲控制同步方法.基于Lyapunov稳定性理论, 给出了忆阻混沌系统的脉冲同步渐近稳定条件; 结合误差系统的最大条件Lyapunov指数谱, 讨论了系统初值对脉冲同步性能的影响, 并进行了相应的数值仿真实验.结果表明, 在合适的脉冲控制参数条件下, 同构的忆阻混沌系统的脉冲同步是可行而有效的; 忆阻混沌系统的初值对脉冲同步性能存在一定的影响, 但可通过增大脉冲耦合强度来抑制系统初值的影响. 相似文献
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Luo Run-Zi 《Physics letters. A》2008,372(5):648-653
This Letter derives some sufficient conditions for the stabilization and synchronization of the new chaotic system proposed by [G.Y. Qi, et al., Physica A 352 (2005) 295] via an impulsive method. Some new and less conservative criteria for the global exponential stability and asymptotical stability of impulsively controlled new chaotic system are obtained with varying impulsive intervals. In particular, some simple and easily verified criteria are established with equivalent impulsive intervals. An illustrative example is finally included to visualize the effectiveness and feasibility of the developed methods. 相似文献