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In this paper, an approach is proposed to design synchronization protocols for a network of second-order multi-agents. We prove a series of sufficient conditions for different asymptotic coordination dynamics including synchronization, consensus and stability. These conditions are rather general, which can include some existing results as corollaries. In addition, we can employ them to construct novel...
Synchronization in networks has been an active research area in recent years. In this paper we consider networks where the only measurements available to an agent are relative output information from their neighbors. No direct information of its own internal agents is available nor is there an exchange of internal controller states with neighboring agents. We consider the homogeneous case where all...
This paper addresses the problem that how to identify the topology of complex dynamical networks. In this paper, we use the output variable, to be the feedback in order to identify the topology of a complex dynamical network. The global stability of the observer is analytical proved using the Lyapunov theory to show the asymptotically stable conditions can be achieved. Finally, a numerical simulation...
This paper considers the generalized synchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables of the drive system and the state variables of the response system, the hyperchaotic synchronization problem is transformed into the stabilization control problem of the origin of the...
From the viewpoint of computer control, the synchronization of nonlinear systems is investigated. The controlled synchronization problem with stair-step signal is presented. The synchronization error controlled by the stair-step signal is analyzed and it is proved with Lyapunov method that if the Euclid norm of the control signal is no more than the norm of the synchronization error times a constant,...
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