Abstract
The synchronization problem of two delayed complex dynamical networks with output coupling is investigated by using impulsive hybrid control schemes, where only scalar signals need to be transmitted from the drive network to the response one. Based on the Lyapunov stability theorem and the impulsive hybrid control method, some sufficient conditions guaranteeing synchronization of such complex networks are established for both the cases of coupling delay and node delay are considered, respectively. Finally, two illustrative examples with numerical simulations are given to show the feasibility and efficiency of theoretical results.
Highlights
A complex network is composed of a number of coupled nodes, where each node is a dynamical system and can only access the local neighboring information
The synchronization problem of two delayed complex dynamical networks with output coupling is investigated by using impulsive hybrid control schemes, where only scalar signals need to be transmitted from the drive network to the response one
Through the adaptive control or impulsive control, synchronization between two networks is studied in [30,31,32,33,34], which could deal with more complicated cases, such as different node dynamics, nonidentical topological structures, or timevarying delays
Summary
A complex network is composed of a number of coupled nodes, where each node is a dynamical system and can only access the local neighboring information. Through the adaptive control or impulsive control, synchronization between two networks is studied in [30,31,32,33,34], which could deal with more complicated cases, such as different node dynamics, nonidentical topological structures, or timevarying delays These schemes demand all the states of the drive network to be sent to the response network. This is impractical and not economical for real network applications, such as communication networks, where too many links or a too wide bandwidth in communication channels among uses is very unlikely To resolve this problem, observer-based synchronization schemes have been used where the receiver uses an observer to estimate the states of the drive. In [39], a new scheme for outer synchronization has been proposed
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