共查询到20条相似文献,搜索用时 31 毫秒
1.
G. Al-mahbashi M.S. Md Noorani S.A. Bakar M.M. Al-sawalha 《The European physical journal. Special topics》2016,225(1):51-64
This paper investigates the problem of projective lag synchronization behavior in drive-response dynamical networks (DRDNs) with identical and non-identical nodes. An adaptive control method is designed to achieve projective lag synchronization with fully unknown parameters and unknown bounded disturbances. These parameters were estimated by adaptive laws obtained by Lyapunov stability theory. Furthermore, sufficient conditions for synchronization are derived analytically using the Lyapunov stability theory and adaptive control. In addition, the unknown bounded disturbances are also overcome by the proposed control. Finally, analytical results show that the states of the dynamical network with non-delayed coupling can be asymptotically synchronized onto a desired scaling factor under the designed controller. Simulation results show the effectiveness of the proposed method. 相似文献
2.
Zhenwu Sun 《Central European Journal of Physics》2013,11(1):89-95
Function projective synchronization (FPS) of two novel hyperchaotic systems with four-scroll attractors which have been found up to the present is investigated. Adaptive control is employed in the situation that system parameters are unknown. Based on Lyapunov stability theory, an adaptive controller and a parameter update law are designed so that the two systems can be synchronized asymptotically by FPS. Numerical simulation is provided to show the effectiveness of the proposed adaptive controller and the parameter update law. 相似文献
3.
Genera/dynamical networks with distributed time delays are studied. The topology of the networks are viewed as unknown parameters, which need to be identified. Some auxiliary systems (also called the network estimators) are designed to achieve this goal. Both linear feedback control and adaptive strategy are applied in designing these network estimators. Based on linear matrix inequalities and the Lyapunov function method, the sufficient condition for the achievement of topology identification is obtained. This method can also better monitor the switching topology of dynamical networks. Illustrative examples are provided to show the effectiveness of this method. 相似文献
4.
Based on high gain feedback control theory, robust adaptive synchronization of dynamical network is investigated in this paper. When the non-linear coupling functions are unknown but with unknown bounded, some fairly simple robust adaptive scalar feedback controllers are derived. The key idea is that a time-varying gain parameter is introduced in designing controllers which can guarantee that the states of uncertain coupled dynamical networks robust adaptive asymptotically synchronize with each other. Numerical simulation is given to validate the proposed theoretical result. 相似文献
5.
6.
7.
Choon Ki Ahn 《International Journal of Theoretical Physics》2009,48(12):3498-3509
This paper investigates the adaptive anti-synchronization problem for time-delayed chaotic neural networks with unknown parameters.
Based on Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) approach, the adaptive anti-synchronization
controller is designed and an analytic expression of the controller with its adaptive laws of unknown parameters is shown.
The proposed controller can be obtained by solving the LMI problem. An illustrative example is given to demonstrate the effectiveness
of the proposed method. 相似文献
8.
This Letter proposes an approach to identify the topological structure and unknown parameters for uncertain general complex networks simultaneously. By designing effective adaptive controllers, we achieve synchronization between two complex networks. The unknown network topological structure and system parameters of uncertain general complex dynamical networks are identified simultaneously in the process of synchronization. Several useful criteria for synchronization are given. Finally, an illustrative example is presented to demonstrate the application of the theoretical results. 相似文献
9.
D. Chakraborty 《The European Physical Journal B - Condensed Matter and Complex Systems》2012,85(8):1-8
This paper presents an adaptive lag synchronization based method for simultaneous identification of topology and parameters of uncertain general complex dynamical networks with and without time delays. Based on Lyapunov stability theorem and LaSalle??s invariance principle, an adaptive controller is designed to realize lag synchronization between drive and response systems, meanwhile, identification criteria of network topology and system parameters are obtained. Numerical simulations illustrate the effectiveness of the proposed method. 相似文献
10.
11.
Robust adaptive synchronization of uncertain and delayed dynamical complex networks with faulty network 下载免费PDF全文
<正>This paper presents a new robust adaptive synchronization method for a class of uncertain dynamical complex networks with network failures and coupling time-varying delays.Adaptive schemes are proposed to adjust controller parameters for the faulty network compensations,as well as to estimate the upper and lower bounds of delayed state errors and perturbations to compensate the effects of delay and perturbation on-line without assuming symmetry or irreducibility of networks.It is shown that,through Lyapunov stability theory,distributed adaptive controllers constructed by the adaptive schemes are successful in ensuring the achievement of asymptotic synchronization of networks in the present of faulty and delayed networks,and perturbation inputs.A Chua's circuit network example is finally given to show the effectiveness of the proposed synchronization criteria. 相似文献
12.
This paper studies the synchronization of complex dynamical networks constructed by spatiotemporal chaotic systems with unknown parameters. The state variables in the systems with uncertain parameters are used to construct the parameter recognizers, and the unknown parameters are identified. Uncertain spatiotemporal chaotic systems are taken as the nodes of complex dynamical networks, connection among the nodes of all the spatiotemporal chaotic systems is of nonlinear coupling. The structure of the coupling functions between the connected nodes and the control gain are obtained based on Lyapunov stability theory. It is seen that stable chaos synchronization exists in the whole network when the control gain is in a certain range. The Gray--Scott models which have spatiotemporal chaotic behaviour are taken as examples for simulation and the results show that the method is very effective. 相似文献
13.
In this paper, an adaptive controller is designed to synchronize the chaotic dynamical network with unknown and mismatched parameters. Based on the invariance principle of differential equations, some generic sufficient conditions for asymptotic synchronization are obtained. In order to demonstrate the effectiveness of the proposed method, an example is provided and numerical simulations are performed. The numerical results show that our control scheme is very effective and robust against the weak noise. 相似文献
14.
This paper investigates adaptive synchronization for dynamical networks of neutral type with time-delay. In comparison with those of the existing synchronization of dynamical networks of neutral type with time-delay, we assume that the given neutral type expression can be linear function, nonlinear function, or even any elementary transformation. Based on the Lyapunov stability theorem, the adaptive control law is derived to make the state of two dynamical networks of neutral type synchronized. Some numerical are also given to show the effectiveness of the proposed method. 相似文献
15.
Adaptive Synchronization of Fractional Order Complex-Variable Dynamical Networks via Pinning Control
《理论物理通讯》2017,(9)
In this paper, the synchronization of fractional order complex-variable dynamical networks is studied using an adaptive pinning control strategy based on close center degree. Some effective criteria for global synchronization of fractional order complex-variable dynamical networks are derived based on the Lyapunov stability theory. From the theoretical analysis, one concludes that under appropriate conditions, the complex-variable dynamical networks can realize the global synchronization by using the proper adaptive pinning control method. Meanwhile, we succeed in solving the problem about how much coupling strength should be applied to ensure the synchronization of the fractional order complex networks. Therefore, compared with the existing results, the synchronization method in this paper is more general and convenient. This result extends the synchronization condition of the real-variable dynamical networks to the complex-valued field, which makes our research more practical. Finally, two simulation examples show that the derived theoretical results are valid and the proposed adaptive pinning method is effective. 相似文献
16.
Cluster synchronization of community network with distributed time delays via impulsive control 下载免费PDF全文
Cluster synchronization is an important dynamical behavior in community networks and deserves further investigations.A community network with distributed time delays is investigated in this paper.For achieving cluster synchronization,an impulsive control scheme is introduced to design proper controllers and an adaptive strategy is adopted to make the impulsive controllers unified for different networks.Through taking advantage of the linear matrix inequality technique and constructing Lyapunov functions,some synchronization criteria with respect to the impulsive gains,instants,and system parameters without adaptive strategy are obtained and generalized to the adaptive case.Finally,numerical examples are presented to demonstrate the effectiveness of the theoretical results. 相似文献
17.
Yu WuWei Lin 《Physics letters. A》2011,375(37):3279-3289
The adaptive technique, which includes both dynamical estimators and coupling gains, has been recently verified to be practical for locating the unknown steady states numerically. This Letter, in the light of the center manifold theory for dynamical systems and the matrix spectrum principle, establishes an analytical formalism of this adaptive technique and reveals a connection between this technique and the original adaptive controller which includes only the dynamical estimator. More interestingly, in study of the well-known Lorenz system, the selections of the estimator parameters and initial values are found to be crucial to the successful application of the adaptive technique. Some Milnor-like basins of attraction with fractal structures are found quantitatively. All the results obtained in the Letter can be further extended to more general dynamical systems of higher dimensions. 相似文献
18.
针对具有噪声的一般时滞复杂动力网络, 研究了它的局部自适应H无穷一致性问题, 其中网络包含未知但有界的非线性耦合函数、节点和耦合项都具有时变时滞. 基于李雅谱诺夫稳定性理论, 线性矩阵不等式优化技术以及自适应控制方法, 提出了局部自适应H无穷一致充分条件, 这些条件不仅可以保证受噪声扰动的网络获得鲁棒渐近一致, 而且可以让网络达到一个给定的鲁棒H无穷水平. 数值模拟验证了所提出的方法的可行性和有效性.
关键词:
H无穷一致
时滞复杂网络
噪声
线性矩阵不等式 相似文献
19.
A problem of topology identification for complex dynamical networks is investigated in this paper. An adaptive observer is proposed to identify the topology of a complex dynamical networks based on the Lyapunov stability theory. Here the output of the network and the states of the observer are used to construct the updating law of the topology such that the communication resources from the network to its observer are saved. Some convergent criteria of the adaptive observer are derived in the form of linear inequality matrices. Several numerical examples are shown to demonstrate the effectiveness of the proposed observer. 相似文献
20.
Bei-Lai HU 《理论物理通讯》1997,27(3):305-310
The exact equations of parallel dynamics for three-Ising neural networks at zero temperature are derived from a generating functional. The generating functional is proposed to be a δ-function to fit the dynamical rule of three-Ising model. The dynamical equations obtained in the case without self-coupling terms are in agreement with the published results derived with a probabilistic approach, which shows that this approach can be used to advantage in calculating the exact dynamical equations and other order parameters for multistate Ising neural networks. 相似文献