Pinning control for cluster synchronisation of complex dynamical networks with semi-Markovian jump topology. (English) Zbl 1316.93013
Summary: In this paper, a pinning controller is designed for cluster synchronization of complex dynamical networks with semi-Markovian jump topology, which covers the concept of the conventional Markovian jump as a special case. To decide on the pinned-node for the cluster synchronization, a novel procedure is proposed based on a topological structure. In addition, criteria for the synchronization are separately derived for the controller with the mode-independent and mode-dependent pinned-node, respectively. A practical example is given to illustrate the effectiveness of the proposed methods.
MSC:
| 93A15 | Large-scale systems |
| 93B51 | Design techniques (robust design, computer-aided design, etc.) |
| 60J75 | Jump processes (MSC2010) |
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