共查询到17条相似文献,搜索用时 82 毫秒
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针对一类含有不确定项的混沌系统,设计了广义同步响应系统,利用系统稳定性理论设计了自适应广义同步控制器及自适应率,实现了驱动系统和所设计的响应系统广义同步,所设计的控制策略对外界干扰有较强的鲁棒性,而且通过引入加速因子,可任意配置同步响应速度,具有较高的应用价值,理论分析及仿真结果验证了该方法的有效性。 相似文献
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同步置换群的研究是置换群理论中的一个前沿课题.通过在有限域上定义广义Paley图,来讨论这类图的团数(clique number)和色数(chromatic number)相等的条件.然后证明构造的广义Paley图和一类仿射群的轨道图同构,进而讨论这类仿射群的同步性.在此基础上给出一类本原非同步群的构造. 相似文献
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广义H-矩阵的一组充分条件 总被引:1,自引:0,他引:1
利用矩阵的连续过渡、子矩阵的谱半径估计等方法,研究了正定条件下的广义H-矩阵的判别法.给出了判定正定条件下广义H-矩阵的几个充分条件,当块矩阵退化为点矩阵时,这些条件即为非奇异H-矩阵的充分条件. 相似文献
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本文研究了两个离散网络之间的广义同步,其中每个网络的节点动力学是不同的,节点数目也没有要求是相等的.通过使用辅助系统方法,我们给出了基于李雅普诺夫稳定性理论的广义同步定理.最后,用数值例子来验证定理的有效性. 相似文献
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针对四翼混沌系统的控制和同步问题,采用反馈控制方法将系统的混沌运动控制到稳定态;根据Routh-Huriwtz准则获得了系统达到控制目标时反馈系数所满足的条件,通过设计控制器研究系统的广义控制与同步.在此基础上给出了响应系统同时含有控制变量时,系统的广义混合控制与同步运动行为,并从理论分析和Maple数值仿真验证了同步方法的可行性. 相似文献
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研究了Hilbert空间上范数连续广义算子半群的特征条件.利用广义半群的的预解式,给出了广义算子半群范数连续的充分条件. 相似文献
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Adel Ouannas Ahmad Taher Azar Sundarapandian Vaidyanathan 《Mathematical Methods in the Applied Sciences》2017,40(5):1804-1812
In this paper, a robust mathematical method is proposed to study a new hybrid synchronization type, which is a combining generalized synchronization and inverse generalized synchronization. The method is based on Laplace transformation, Lyapunov stability theory of integer‐order systems and stability theory of linear fractional systems. Sufficient conditions are derived to demonstrate the coexistence of generalized synchronization and inverse generalized synchronization between different dimensional incommensurate fractional chaotic systems. Numerical test of the method is used. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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Synchronization analysis of complex‐Variable chaotic systems with discontinuous unidirectional coupling 下载免费PDF全文
Song Zheng 《Complexity》2016,21(6):343-355
This article is concerned with the problem of synchronization between two uncertain complex‐variable chaotic systems with parameters perturbation and discontinuous unidirectional coupling. Based on the stability theory and comparison theorem of differential equations, some sufficient conditions for the complete synchronization and generalized synchronization are obtained. The theoretical results show that the two uncertain complex‐variable chaotic systems with discontinuous unidirectional coupling can achieve synchronization if the time‐average coupling strength is large enough. Finally, numerical examples are examined to illustrate the feasibility and effectiveness of the analytical results. © 2015 Wiley Periodicals, Inc. Complexity 21: 343–355, 2016 相似文献
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Yanyan Wang 《Mathematical Methods in the Applied Sciences》2019,42(18):7011-7029
In this paper, we deliver a normalized synchronization transformation to study the generalized exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls. The clear relationship among the generalized exact boundary synchronization, the exact boundary null controllability, and the generalized exactly synchronizable states is precisely obtained. This approach gives further a forthright decomposition for the generalized exact boundary synchronization problem, whereby, we gain directly the determination of generalized exactly synchronizable states. 相似文献
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Experimental study on impulsive synchronization between two modified Chua's circuits 总被引:4,自引:0,他引:4
Recai Kili 《Nonlinear Analysis: Real World Applications》2006,7(5):1298-1303
As in many continuous synchronization studies and chaos-based communication systems, the paradigmatic chaos generator, Chua's circuit has been generally used in impulsive synchronization schemes. On the other hand, different versions of Chua's circuit are considered in literature. Nowadays, we realized a new version of Chua's circuit by modifying circuit connections and inserting an additional passive element to the circuit structure. In this study, we have experimentally investigated impulsive synchronization between two modified Chua's circuits. Experimental results show that impulsive synchronization is achieved in the proposed scheme with respect to the switching frequency. 相似文献
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广义同步化流形的Holder连续性 总被引:1,自引:0,他引:1
证明了两个不同的混沌系统线性耦合时能实现广义同步化,在一定条件下广义同步化流形是Holder连续的.采用的思想是Temam的无穷维动力系统的惯性流形理论的改进.在线性耦合下两个混沌系统具有吸收集和吸引子的基础上,通过定义在一个函数类上的映射满足Schauder不动点定理,从而得到广义同步化流形,该广义同步化流形具有不变性.又证明了存在分数维的指数吸引子,指数吸引子与广义同步流形的交集具有指数吸引性.数值仿真证实了理论的正确性.在驱动系统和响应系统外引入辅助系统,辅助系统与响应系统的完全同步化表明了驱动系统和响应系统的广义同步化. 相似文献
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《Applied Mathematical Modelling》2014,38(15-16):4076-4085
This paper investigates the global finite-time synchronization of two chaotic Lorenz–Stenflo systems coupled by a new controller called the generalized variable substitution controller. First of all, the generalized variable substitution controller is designed to establish the master–slave finite-time synchronization scheme for the Lorenz–Stenflo systems. And then, based on the finite-time stability theory, a sufficient criterion on the finite-time synchronization of this scheme is rigorously verified in the form of matrix and the corresponding estimation for the synchronization time is analytically given. Applying this criterion, some sufficient finite-time synchronization criteria under various generalized variable substitution controllers are further derived in the algebraic form. Finally, some numerical examples are introduced to compare the results proposed in this paper with those proposed in the existing literature, verifying the effectiveness of the criteria obtained. 相似文献
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L.J. Ontañón-Garcı́a E. Campos-Cantón R. Femat I. Campos-Cantón M. Bonilla-Marín 《Communications in Nonlinear Science & Numerical Simulation》2013,18(10):2761-2768
This work presents multivalued chaotic synchronization via coupling based on the Poincaré plane. The coupling is carried out by an underdamped signal, triggered every crossing event of the trajectory of the master system through a previously defined Poincaré plane. A master–slave system is explored, and the synchronization between the systems is detected via the auxiliary system approach and the maximum conditional Lyapunov exponent. Due to the response to specific conditions two phenomena may be obtained: univalued and multivalued synchronization. Since the Lyapunov exponent is not enough to detect these two phenomena, the distance between the pieces of trajectories of the slave and auxiliary systems with different initial conditions is also used as a tool for the detection of multivalued synchronization. Computer simulations using the benchmark chaotic systems of Lorenz and Rössler are used to exemplify the approach proposed. 相似文献