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In this paper, the distributed tracking problem for heterogeneous second-order multiagent systems with nonlinear dynamics is studied. Both the dynamics among the followers and the dynamics between the leader and each follower are heterogeneous. A sampled-data-based consensus protocol is proposed. In addition, the communication delays are considered. Based on Lyapunov stability theory and linear matrix...
In this paper, we apply outer synchronization to identify unknown parameters existing in the node dynamics between two interacted networks. According to the coupling and interacted matrices, we design the corresponding adaptive control schemes and updating laws to achieve the outer synchronization. By the Lyapunov functional theory, we derive two theorems of the appearance of outer synchronization...
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...
The second-order Kuramoto oscillator models (KM) with diffusive and sinusoidal coupling were considered intensively in power networks. In this paper, the synchronization of an extended second-order Kuramoto oscillator model is studied using a parameterized approach. It is shown that the synchronization of the extended second-order KM is equivalent to the synchronization of a simple extended first-order...
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 studies the transmission synchronization (TS) problem among multiple coupled chaotic systems by considering unknown parameters. In the solving process, we firstly select a special integral sliding surfaces, and then we develop an effective controller with the compensation terms to guarantee the asymptotical stability of all TS error systems. Simultaneously, we design the proper adaptive...
This paper proposes a novel adaptive synchronization approach for a class of nonlinear large-scale systems via T-S fuzzy model. It is known that the practical large-scale systems are very complicated with nonlinear coupling strength between every two subsystems, thus the classical linear control methods are invalid for them. To overcome this deficiency, we employ the T-S fuzzy model in this paper...
Recent articles introduced a new method, named flux-charge analysis method (FCAM), for studying nonlinear dynamics and bifurcations of a large class of memristor circuits. FCAM is based on Kirchhoff flux and charge Laws, and constitutive relations of basic circuits elements, expressed in the flux-charge domain. As such, FCAM is in contrast with other traditional methods for studying the dynamics of...
In this study, phenomena observed in scale-free coupled circle map are investigated. The circle map is a one-dimensional discrete-time dynamical system which exhibits various kinds of behavior as the parameters change. As the high-dimensional coupled circle map, the coupled map lattice and the globally coupled map have been studied. However, the scale-free coupled circle map has not been well investigated...
The study of the synchronization problems in wireless sensor networks (WSNs) is increasingly significant. Some researchers found that the network topology has an important impact on the convergence performance of the synchronization in WSNs. According to the feature of WSNs, we use random geometric graph (RGG) to describe the model of WSNs. And the degree distribution in RGG is similar to binomial...
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...
We investigate the evolution of a delayed feedforward network model with plasticity. It is found that desynchronized and synchronized firing patterns both exist in the feedforward network (FFN) with different synaptic delays. Synaptic delays may play a significant role in bridging rate coding and time coding. Then we focus on the evolution of firing rate and synaptic weights in the FFN network based...
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...
This paper investigates the synchronization problem of delayed Markovian coupled neural networks with random coupling strengths and partial information on transition probabilities. In this coupled neural network model, each transition rate is only known partial information, and the coupling strengths are characterized by mutually independent random variables. By constructing a new augmented Lyapunov-Krasovskii...
The dual-linear-motor-driven (DLMD) gantry of rigid-link version has widespread industrial use for its special actuator configuration. However, the resulting mechanical coupling also makes it difficult to achieve both good tracking and smooth operation through the existing synchronization schemes, which focus on the pure motion synchronization between axes only. In this paper, apart from the well-known...
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...
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