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The global synchronization problem of complex dynamical networks with memristive neural networks (MNNs) nodes is studied in this paper. By using the Filippov solution and some set-valued maps, the synchronization framework of complex networks with MNNs nodes is presented. Some sufficient criteria ensuring the considered complex networks to be globally exponentially synchronized are derived by using...
This paper considers the pinning synchronization problem for complex networks with directed topologies by utilizing the output state information of network nodes, where the node dynamics satisfies the Lipschitz condition. Based on M-matrix theory and Lyapunov functional method, some sufficient conditions are derived to ensure that the network can be pinned to the trajectory of the leader node. Some...
In this paper, the critical point that is a coupling strength at which the model changes from desynchronization to synchronization is solved by the mean field method theoretically and the phenomenon that with the increase of the mean value in the Gaussian distribution, the corresponding critical point is reduced is explained. Based on simulation and the theoretical results, the threshold of the mean...
Over the last two decades, synchronization, as a typical collective behavior in complex networks, has received an increasing attention. To reveal the inherent mechanism of synchronization in complex networks with delayed nodes, this paper aims at developing a novel synchronization approach by using the PD control strategy. Based on a classical network model, we investigate the synchronization of complex...
In this paper, the quasi-synchronization of a class of nonlinearly-coupled complex networks is studied. Different from the previous works, a distinguishing characteristic of this work is that the coupling matrix of nonlinear coupled networks is asymmetrical. The effect of time-varying delay in dynamical networks is also considered. By utilizing the aperiodically intermittent pinning control technique,...
This paper deals with the problem of complex spatio-temporal networks, which is modeled by coupled partial integro-differential equations (PIDEs). A spatial proportional-integral-derivative (SPID) state-feedback controller is studied. With Laypunov direct method, a sufficient condition on synchronization of the complex PIDE network is investigated in terms of linear matrix inequality (LMIs). Finally,...
This paper studies boundary control for function projective synchronization of a complex sptio-temporal network with time-varying delays and nonlinear terms satisfying the Lipschitz condition. A boundary controller based on distributed measures is studied for function projective synchronization. Using Lyapunov's direct method, the problem of existence of the controller is formulated as the feasibility...
Event-triggered mechanism is applied to multiagent systems in order to reduce the amount of information transmission. In this paper, a novel centralized/distributed hybrid event-triggered mechanism(HETM) is proposed. It is shown that the proposed event-triggered mechanism not only guarantees the consensus of multi-agent systems but also effectively avoids the Zeno behavior. Then, we further consider...
A pair of methods, based on joint recurrence plots and a modified version of cross visibility networks, is proposed for the determination of the efficiency of Edge Localized Modes (ELM) triggering by pellet injection. The main issue in the evaluation of the synchronization between pellet injection and ELM occurrence resides in the fact that ELMs are quasi periodic in nature and therefore, after any...
This paper discusses the cluster synchronization problem of complex dynamical networks consisted of Lur'e systems. Since the special topology structure of the complex network and the existence of stochastic phenomena, a kind of randomly occurring pinning controller is designed which not only synchronizes all Lur'e systems in the same cluster but also decreases the influence among different clusters...
Projective cluster synchronization of dynamical networks is considered via pinning impulsive control. The projective cluster synchronization, which is try to make nodes of response network realize cluster synchronization with the control about the driven network. A sufficient condition is given to solve the projective cluster synchronization problem based on Lyapunov theory. Finally, the effectiveness...
This paper investigates the synchronization of fractional-order general complex dynamical networks with coupling delay. Based on the stability theory of the fractional-order system, the sufficient criteria for synchronization are derived analytically by applying the linear control methods. The proposed synchronization method is applicable to almost all kinds of coupled fractional-order general complex...
This paper proposes a fault tolerant cooperative control strategy for a class of complex network systems with the time varying interconnection topology. The general neighboring rule-based linear cooperative protocol is developed and a sufficient synchronization condition is derived. Moreover, it is shown that the target point is still reached with the proposed fault tolerant cooperative control method...
In this paper, we respectively discuss passivity of multi-weighted complex dynamical networks with fixed and switching topologies. Firstly, several passivity criteria for the complex dynamical network with fixed topology and multi-weights are established by employing Lyapunov functional approach and inequality techniques. Furthermore, similar methods are used to derive some sufficient conditions for...
Over the last few years, the combination synchronization of chaotic system receives a special attention. This paper introduces the idea of combination synchronization into complex networks. Based on sliding mode control (SMC) principle, the finite-time combination synchronization (FTCS) of four uncertain complex networks which combining as the form of A+B+C-D is investigated. And there are unknown...
In this article, we study finite-time synchronization of complex network with unknown parameter by applying a new type of sliding form controller. On account of the theory for finite-time control, we introduce a new type of sliding form surface. We testify that the system converge to the zero point in a given finite-time. Then we propose a sliding form controller which guarantee that the sliding movement...
In this paper, we present a generalized lag synchronization-based method to identify the exact topology of uncertain complex networks with time delay and noise perturbation. By designing new controllers and novel adaptive identification rules, the unknown topological structure of the network is successfully identified in the process of synchronization. Meanwhile, we discuss the effect of time delay...
The synchronization of multi-weighted complex dynamical networks with fixed and switching topologies is respectively investigated in this paper. Firstly, by putting to use Lyapunov functional approach and some inequality techniques, we establish a synchronization criterion for the multi-weighted complex dynamical network with fixed topology. In addition, the similar methods can be applied to get some...
The synchronization problem is concerned for a complex network with inner-coupling faults. Firstly, the model of this kind of complex network is established where the inner-coupling faults are presented by a sequence of fault factors. Then the synchronization criteria are derived based on the Lyapunov stability theory and master stability equation method in the form of linear matrix inequalities....
In this paper, we investigate the synchronization problem for nonlinear coupled networks with time-delay. Nodes in the networks are assumed to be identical and node's dynamical behaviors are described by continuous-time equations. The networks topology is generalized to directed. By introducing an aperiodically intermittent control scheme combined with pinning strategy, some more general sufficient...
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