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Wang, Jian-An

Adaptive synchronization of complex networks with mixed probabilistic coupling delays via pinning control. (English) Zbl 1463.93160

J. Appl. Math. 2014, Article ID 742956, 9 p. (2014).
Summary: The problem of synchronization for a class of complex networks with probabilistic time-varying coupling delay and distributed time-varying coupling delay (mixed probabilistic time-varying coupling delays) using pinning control is investigated in this paper. The coupling configuration matrices are not assumed to be symmetric or irreducible. By adding adaptive feedback controllers to a small fraction of network nodes, a low-dimensional pinning sufficient condition is obtained, which can guarantee that the network asymptotically synchronizes to a homogenous trajectory in mean square sense. Simultaneously, two simple pinning synchronization criteria are derived from the proposed condition. Numerical simulation is provided to verify the effectiveness of the theoretical results.

MSC:

93C40 Adaptive control/observation systems
93B52 Feedback control
93B70 Networked control
93C43 Delay control/observation systems
93A15 Large-scale systems
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\textit{J.-A. Wang}, J. Appl. Math. 2014, Article ID 742956, 9 p. (2014; Zbl 1463.93160)
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References:

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