Abstract
Due to its applications, some types of synchronization of complex networks have been intensively investigated. In particular, as a more general type of synchronization, function projective synchronization (FPS) has been investigated for complex networks with time delay or with time-varying delay. In this paper, we investigate FPS of complex networks with distributed delays. It is proven that, FPS of such networks can be realized via hybrid feedback control. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.
Highlights
Complex networks attract a lot of research interests, because they are widely applicable to various fields [1]–[5]
In this paper we investigate the problem of function projective synchronization (FPS) for general complex networks with distributed delays
Qiu et al.: FPS of Complex Networks With Distributed Delays via Hybrid Feedback Control where for i = j, gij = 0 if vi is connected to vj, and 0
Summary
Complex networks attract a lot of research interests, because they are widely applicable to various fields [1]–[5]. FPS means synchronizing the driver and response systems up to a scaling function. It is a more general type of chaotic synchronization, and encompasses complete synchronization and projective synchronization. FPS means with a desired scaling function all the nodes are synchronized to an equilibrium point or a periodic orbit. Complex networks with distributed delays were introduced into the model system [21], [22]. In this paper we investigate the problem of FPS for general complex networks with distributed delays.
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