共查询到16条相似文献,搜索用时 109 毫秒
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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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考察了随机脉冲微分系统的p阶矩稳定性问题,在更符合脉冲系统一般假设的情况下,建立了条件更弱的随机脉冲微分系统p阶矩稳定性判定定理.并应用该判定定理,考察了参激白噪声作用下Lorenz系统的脉冲同步问题,证明了同步误差系统的p阶矩稳定性,从而说明在p阶矩的意义下,两个系统是可以用脉冲方法实现同步的.数值模拟验证了随机Lorenz系统脉冲同步的可行性.
关键词:
随机脉冲微分方程
p阶矩稳定性')" href="#">p阶矩稳定性
脉冲
同步 相似文献
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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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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 present paper is mainly concerned with the issues of synchronization dynamics of complex delayed dynamical networks with impulsive effects. A general model of complex delayed dynamical networks with impulsive effects is formulated, which can well describe practical architectures of more realistic complex networks related to impulsive effects. Based on impulsive stability theory on delayed dynamical systems, some simple but less conservative criterion are derived for global synchronization of such dynamical network. It is shown that synchronization of the networks is heavily dependent on impulsive effects of connecting configuration in the networks. Furthermore, the theoretical results are applied to a typical SF network composing of impulsive coupled chaotic delayed Hopfield neural network nodes, and are also illustrated by numerical simulations. 相似文献
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Global impulsive exponential synchronization of stochastic perturbed chaotic delayed neural networks 下载免费PDF全文
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
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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
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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 下载免费PDF全文
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
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Robust lag synchronization between two different chaotic systems via dual-stage impulsive control 下载免费PDF全文
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