共查询到19条相似文献,搜索用时 125 毫秒
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研究分数阶时滞混沌系统同步问题,基于状态观测器方法和分数阶系统稳定性理论,设计分数阶时滞混沌系统同步控制器,使得分数阶时滞混沌系统达到同步,同时给出了数学证明过程.该同步控制器采用驱动系统和响应系统的输出变量进行设计,无需驱动系统和响应系统的状态变量,简化了控制器的设计,提高了控制器的实用性.利用Lyapunov稳定性理论和分数阶线性矩阵不等式,研究并给出了同步控制器参数的选择条件.以分数阶时滞Chen混沌系统为例,设计基于状态观测器的同步控制器,实现了分数阶时滞Chen混沌系统同步,并将其应用于保密通信系统中.仿真结果证明了该同步方法的有效性. 相似文献
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针对同时具有节点时滞和耦合时滞的时变耦合复杂网络的外同步问题, 提出一种简单有效的自适应牵制控制方法. 首先构建一种贴近实际的驱动-响应复杂网络模型, 在模型中引入双重时滞和时变不对称外部耦合矩阵. 进一步设计易于实现的自适应牵制控制器, 对网络中的一部分关键节点进行控制. 构造适当的Lyapunov泛函, 利用 LaSalle不变集原理和线性矩阵不等式, 给出两个复杂网络实现外同步的充分条件. 最后, 仿真结果表明所提同步方法的有效性, 同时揭示耦合时滞对同步收敛速度的影响. 相似文献
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针对含有扰动的混沌系统, 设计采样同步控制器, 利用输入时滞法将含有采样同步控制器的混杂系统转换为具有输入时滞的连续系统. 并考虑对系统影响最坏的干扰程度, 在该种情况下, 基于线性矩阵不等式(LMI)技术和min-max鲁棒控制方法, 给出了使误差系统稳定的充分条件, 确保混沌系统在所容许的扰动下均能实现完全同步. 仿真结果说明所设计的采样同步控制方案具有很强的鲁棒性, 适合应用于保密通信系统中.
关键词:
混沌同步
采样控制
min-max方法
输入时滞 相似文献
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改进恒Lyapunov指数谱混沌系统的特殊的分段线性结构及其全局线性调幅参数与倒相参数的存在性,赋予了其同步体系新的可实现性与可调节性.依据广义同步的原理,构造合适的驱动系统与响应系统,可以实现恒Lyapunov指数谱混沌系统的广义同步;改变响应系统的参数,可实现完全同步与广义投影同步;改进恒Lyapunov指数谱混沌系统的全局线性调幅参数能对驱动与响应系统的状态变量幅值实施同步升降控制,倒相参数能对某一特定状态变量实施同步倒相控制.这种同步体系无需专门的控制器,结构简单,易于实现.文章最后设计了同步体系的实现电路,实验仿真结果证明了混沌同步方法的可行性,也验证了恒指数谱混沌系统特殊参数对同步体系状态变量幅值与相位的调控作用. 相似文献
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提出用改进的状态观测器研究混沌广义同步问题.采用解析法求得了混沌广义同步的响应系统.从状态观测器理论,得到驱动和响应系统全局渐进线性广义同步的充分条件.以超混沌R?ssler系统为例,数值研究了该同步方法.结果表明了它的有效性.
关键词:
混沌
广义同步
状态观测器
R?ssler系统 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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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
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Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay 下载免费PDF全文
This paper proposes a nonlinear feedback control method to realize global exponential synchronization with channel time-delay between the Lü system and Chen system,which are regarded as the drive system and the response system respectively.Some effective observers are produced to identify the unknown parameters of the Lü system.Based on the Lyapunov stability theory and linear matrix inequality technique,some sufficient conditions of global exponential synchronization of the two chaotic systems are derived.Simulation results show the effectiveness and feasibility of the proposed controller. 相似文献
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Fault tolerant synchronization of chaotic systems based on T-S fuzzy model with fuzzy sampled-data controller 下载免费PDF全文
In this paper the fault tolerant synchronization of two chaotic systems based on fuzzy model and sample data is investigated.The problem of fault tolerant synchronization is formulated to study the global asymptotical stability of the error system with the fuzzy sampled-data controller which contains a state feedback controller and a fault compensator.The synchronization can be achieved no matter whether the fault occurs or not.To investigate the stability of the error system and facilitate the design of the fuzzy sampled-data controller,a Takagi-Sugeno(T-S) fuzzy model is employed to represent the chaotic system dynamics.To acquire good performance and produce a less conservative analysis result,a new parameter-dependent Lyapunov-Krasovksii functional and a relaxed stabilization technique are considered.The stability conditions based on linear matrix inequality are obtained to achieve the fault tolerant synchronization of the chaotic systems.Finally,a numerical simulation is shown to verify the results. 相似文献
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Global synchronization of Chua's chaotic delay network by using linear matrix inequality 总被引:3,自引:0,他引:3 下载免费PDF全文
Global synchronization of Chua‘s chaotic dynamical networks with coupling delays is investigated in this paper.Unlike other approaches, where only local results were obtained, the network is found to be not linearized in this paper.Insteat, the global synchronization is obtained by using the linear matrix inequality theory. Moreover, some quite simple linear-state-error feedback controllers for global synchronization are derived, which can be easily constructed based on the minimum eigenvalue of the coupling matrix. A simulation of Chua‘s chaotic network with global coupling delays in nodes is finally given, which is used to verify the theoretical results of the proposed global synchron izationscheme. 相似文献
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In this paper, we focus on the robust adaptive synchronization between two coupled chaotic neural networks with all the parameters unknown and time-varying delay. In order to increase the robustness of the two coupled neural networks, the key idea is that a sliding-mode-type controller is employed. Moreover, without the estimate values of the network unknown parameters taken as an updating object, a new updating object is introduced in the constructing of controller. Using the proposed controller, without any requirements for the boundedness, monotonicity and differentiability of activation functions, and symmetry of connections, the two coupled chaotic neural networks can achieve global robust synchronization no matter what their initial states are. Finally, the numerical simulation validates the effectiveness and feasibility of the proposed technique. 相似文献
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K. Udhayakumar R. Rakkiyappan G. Velmurugan 《The European physical journal. Special topics》2017,226(16-18):3639-3655
In this paper, we investigate the problem of stability and synchronization of fractional-order complex-valued neural networks with time delay. By using Lyapunov–Krasovskii functional approach, some linear matrix inequality (LMI) conditions are proposed to ensure that the equilibrium point of the addressed neural networks is globally Mittag–Leffler stable. Moreover, some sufficient conditions for projective synchronization of considered fractional-order complex-valued neural networks are derived in terms of LMIs. Finally, two numerical examples are given to demonstrate the effectiveness of our theoretical results. 相似文献
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Stochastic asymptotical synchronization of chaotic Markovian jumping fuzzy cellular neural networks with mixed delays and the Wiener process based on sampled-data control 下载免费PDF全文
We investigate the stochastic asymptotical synchronization of chaotic Markovian jumping fuzzy cellular neural networks (MJFCNNs) with discrete, unbounded distributed delays, and the Wiener process based on sampled-data control using the linear matrix inequality (LMI) approach. The Lyapunov-Krasovskii functional combined with the input delay approach as well as the free-weighting matrix approach is employed to derive several sufficient criteria in terms of LMIs to ensure that the delayed MJFCNNs with the Wiener process is stochastic asymptotical synchronous. Restrictions (e.g., time derivative is smaller than one) are removed to obtain a proposed sampled-data controller. Finally, a numerical example is provided to demonstrate the reliability of the derived results. 相似文献
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In this paper, the antisynchronization problems of a class of chaotic delayed neural networks are investigated. Some criteria of the antisynchronization of the chaotic delayed neural networks are established by using the linear matrix inequality and Lyapunov stability theory. These criteria not only improve and generalize some known results, but are also some less conservative conditions. Finally, two numerical examples and the corresponding numerical simulations are used to illustrate the effectiveness of the obtained results. 相似文献