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1.
Some new results on global exponential synchronization and global synchronization for Chua's circuit are derived by means of Lyapunov functions and some other mathematic methods, which improve the existing results in the literatures. A strict and complete proof of the result is also given as a complement to the relevant literature where the proof was incomplete. The paper offers some new approaches for studying chaos synchronization for Chua's circuit.  相似文献   

2.
Some new criteria for the chaotic lag synchromzation are proposed. At first, lag synchronization scheme for identical master-slave Lur‘e systems by replacing variables control and the relevant error system are given, and the relations between absolute stability of the error system and the chaotic lag synchromzation are described. Then. based on a quadratic Lyapunov function, two new Lur‘e criteria for the above chaotic lag synchronization are proved. Four corresponding frequency domain criteria are further derived by means of Meyer-Kalman-Yacubovia Lemma. These frequency domain criteria are apphed to analyze the lag synchromzation of general master-slave Chua‘s circuits so that some ranges of the parameters in which the master-slave Chua‘s circuits achieve chaotic lag synchronization by replacing single-variable control are attained. Finally, some examples are given to verify the theoretical results.  相似文献   

3.
This paper proposes a new impulsive complex delayed dynamical network model with output coupling, which is totally different from some existing network models. Then, by employing impulsive delay differential inequalities, some sufficient conditions are obtained to guarantee the global exponential state synchronization and output synchronization of the impulsive complex delayed dynamical network. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained results.  相似文献   

4.
This paper investigates cluster synchronization of a class of multi-agent systems with a directed bipartite graph topology,and presents a number of new results by using the neighbor’s rules for the following two cases:I)there is competition among the agents of diferent clusters,and II)there are both competition and cooperation among the agents.Firstly,for case I),a linear control protocol is designed for cluster synchronization of multi-agent systems,and a method is presented to determine the final state with the initial conditions based on state-space decomposition.Secondly,we study case II),and design a control protocol based on the information of neighbors and that of two-hop neighbors(that is,neighbors’neighbors).Finally,two examples are studied by using our presented results.The study of illustrative examples with simulations shows that our results as well as designed control protocols work very well in studying the cluster synchronization of this class of multi-agent systems.  相似文献   

5.
一个无线传感网络时间同步模拟器   总被引:2,自引:0,他引:2  
Time synchronization is a critical middleware service of wireless sensor networks. Researchers have already proposed some time synchronization algorithms. However, due to the demands for various synchronization precision, existing time synchronization algorithms often need to be adapted. So it is necessary to evaluate these adapted algorithms before use. Software simulation is a valid and quick way to do it. In this paper, we present a time synchronization simulator, Simsync, for wireless sensor networks. We decompose the packet delay into 6 delay components and model them separately. The frequency of crystal oscillator is modeled as Gaussian. To testify its effectiveness, we simulate the reference broadcast synchronization algorithm (RBS) and the timing-sync synchronization algorithm (TPSN) on Simsync. Simulated results are also presented and analyzed.  相似文献   

6.
This paper presents the hierarchic chaotic cellular networks for the hardware implementation of hyper-distributed hyper-parallel intelligent problem solving based on competitive wave propagation.By using the bifurcation and the synchronization of distributed chaotic dynamic systems,and by improving the Chua‘s circuit,the mechanism and the algorithms of heuristic search of an implicit AND/OR graph are realized in a hyper-distributed hyper-parallel environment.This paper‘s approach has many advantages in comparison with other traditional systolic structures based on symbolic logic algorithms.  相似文献   

7.
Pinning control of a generalized complex dynamical network model   总被引:2,自引:1,他引:1  
This paper investigates the local and global synchronization of a generalized complex dynamical network model with constant and delayed coupling. Without assuming symmetry of the couplings, we proved that a single controller can pin the generalized complex network to a homogenous solution. Some previous synchronization results are generalized. In this paper, we first discuss how to pin an array of delayed neural networks to the synchronous solution by adding only one controller. Next, by using the Lyapunov functional method, some sufficient conditions are derived for the local and global synchronization of the coupled systems. The obtained results are expressed in terms of LMIs, which can be efficiently checked by the Matlab LMI toolbox. Finally, an example is given to illustrate the theoretical results.  相似文献   

8.
In this paper, the projective lag synchronization of a new hyperchaotic system with certain/uncertain parameters is addressed. Based on Lyapunov stability theory, a generic and simple controller is designed for the projective lag synchronization. Furthermore, with LaSalle s invariance principle, an adaptive method is proposed to identify the unknown parameters of the new hyperchaotic system based on the projective lag synchronization. Finally, numerical simulations are given to support the analytical approach.  相似文献   

9.
A novel feedback control is proposed to investigate the stochastic finite-time/fixed-time synchronization between two stochastic coupled nonlinear systems (SCNSs). Based on graph theory and Lyapunov function methods, some effective stochastic finite-time/fixed-time synchronization criteria for SCNSs are established. Finally, the examples are included to demonstrate our analytical results.  相似文献   

10.
Sliding mode control is an important method used in nonlinear control systems. In robust control systems, the sliding mode control is often adopted due to its inherent advantages of easy realization, fast response and good transient performance as well as its insensitivity to parameter uncertainties and disturbances. In this paper, we derive new results based on the sliding mode control for the anti-synchronization of identical Qi three-dimensional (3D) four-wing chaotic systems (2008) and identical Liu 3D four-wing chaotic systems (2009). The stability results for the anti-synchronization schemes derived in this paper using sliding mode control (SMC) are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the SMC method is very effective and convenient to achieve global chaos anti-synchronization of the identical Qi four-wing chaotic systems and identical Liu four-wing chaotic systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper.  相似文献   

11.
非恒同混沌系统的全状态广义同步   总被引:2,自引:0,他引:2  
在已有的广义同步定义基础上,提出了一种新的概念-非恒同混沌系统的全状态广义同步(FSGS),给出了实现全状态广义同步的统一的控制器形式,该控制器适用范围人,结构相对简单,并且是白适应的.以Chua电路、Lorenz系统、Rossler系统和Liu系统为例,数值实验验证了该方法的有效性,该控制方法可以很快的实现两个混沌系统的全状态广义同步.  相似文献   

12.
This work is concerned with anti‐synchronization and intermittent anti‐synchronization of two identical delay hyperchaotic Chua systems with linear control approaches. In the first two schemes, based on Lyapunov stability theory, some sufficient conditions for achieving anti‐synchronization of two identical delay hyperchaotic Chua systems are derived, numerical simulation results are presented to demonstrate the effectiveness of the proposed anti‐synchronization schemes. In the third scheme, the anti‐synchronization conditions are obtained by numerical method. In the fourth scheme, only one state of the response system is controlled via linear control, we report an interesting phenomenon of intermittent anti‐synchronization.  相似文献   

13.
Chua’s circuit is a typical system with the piecewise-smooth vector field via the absolute value. A new piecewise-linear feedback control scheme with the absolute value is introduced to realize stabilization of sets of the controlled Chua’s circuit. The equilibrium sets and the global asymptotical stability with respect to several invariant sets, which may consist of both admissible and boundary equilibrium points or equilibrium manifolds, are investigated for the controlled Chua’s circuit system. The non-smooth controller has a simple structure and available control properties, and it is easy to be applied in engineering practice. It is shown by numerical simulations that this controller can effectively realize chaos control and stabilization of equilibrium states.  相似文献   

14.
研究了三个线形和环形耦合HR神经元网络模型的同步行为.通过构造合适的Lyapunov函数和LMI方法,获得线性化偏差系统零解的全局渐近稳定性和全局指数稳定性,给出实现同步的相关判据.进一步地,环形耦合网络比线形耦合网络更容易同步.数值结果显示了我们结果的有效性.  相似文献   

15.
本文研究了具有混合时滞的四元数神经网络的全局同步性问题. 在不要求网络的激活函数可分离为两个复数或四个实数的情况下, 通过选取合适的 Lyapunov -Krasovskii 泛函, 并运用驱动-响应同步、自由权矩阵方法和矩阵不等式技巧, 给出了网络全局同步性的充要条件, 建立了同步控制器的设计方法. 给出的同步性判据是四元数和复数两种形式的线性矩阵不等式, 同时与已有的结果进行了对比. 最后通过一个数值仿真算例验证了所得结论的有效性.  相似文献   

16.
研究了具有有界耦合函数的不确定复杂动态网络的脉冲同步问题.根据脉冲控制的概念和脉冲微分方程的稳定性理论,我们利用一个灵活有效的脉冲控制实现了复杂动态网络的脉冲同步.最后,通过对混沌系统做网络节点的动态网络的数字模拟,验证了我们提出的脉冲控制方案的有效性和实用性.  相似文献   

17.
在Bao系统的基础上构建一个新的三维混沌系统。通过理论分析与数值仿真,研究该混沌系统的动力学特性,如系统耗散性和平衡点稳定性、Lyapunov指数谱和分岔图、Poincare截面和0-1测试运动轨迹等,结果表明该系统具有丰富的混沌动力学特性。通过谱熵复杂度和C0复杂度,分析不同参数下系统的复杂度大小,从而找到复杂度最高的参数取值范围。最后,采用非线性反馈同步法与线性反馈控制方法实现混沌系统同步,根据系统的最大Lyapunov指数确定线性同步控制的参数范围,并利用Multisim软件进行电路仿真,且仿真结果与数值分析完全一致,从而验证了新三维混沌电路同步控制的可行性,为混沌系统应用于同步保密通信领域提供了实验基础。  相似文献   

18.
分析了Duffing方程的基本形式,阐述了基于混沌信号相平面变化进行弱信号检测的工作原理,分析了蔡氏电路中混沌吸引子的键波及螺旋表示方法,设计了一个基于Chua电路键波同步系统;通过实验给出了混沌键波同步系统在在弱信号检测的应用,解决了目前利用混沌检测弱信号中存在的两个关键问题,为混沌键波同步系统在弱信号中的实际应用奠定了一定的基础。  相似文献   

19.
郭玉栋  秦振基 《计算机应用》2011,31(12):3346-3349
时变时滞广泛存在于各种非线性系统中,研究了时变时滞非线性系统的间歇控制及其在保密通信中的应用问题,提出了一种间歇控制策略,理论上分析了其正确性,并且给出一个定理来确定控制器的相关参数。根据提出的定理,设计出间歇控制器使得两个含有时变时滞的Chua电路指数达到同步。将该方法应用到混沌保密通信中,在两个系统达到同步的基础上,发送端的信号能够在接收端很好地恢复出来,表明了该方法的可行性。  相似文献   

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