Geodesic
Control a state-dependent dynamic graph to a pre-specified structure
Kybernetika, Tome 45 (2009) no. 5, pp. 801-808.

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Recent years have witnessed an increasing interest in coordinated control of distributed dynamic systems. In order to steer a distributed dynamic system to a desired state, it often becomes necessary to have a prior control over the graph which represents the coupling among interacting agents. In this paper, a simple but compelling model of distributed dynamical systems operating over a dynamic graph is considered. The structure of the graph is assumed to be relied on the underling system's states. Then by following a proper protocol, the state-dependent dynamic graph is driven to a pre-specified structure. The main results are derived via Lasalle's Invariant Principle and numerical examples that find very good agreements with the analytical results are also included.
Classification : 34D20, 37F99, 93D20
Keywords: state-dependent graph; Lasalleś Invariant Principle; dynamic system 
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     title = {Control a state-dependent dynamic graph to a pre-specified structure},
     journal = {Kybernetika},
     pages = {801--808},
     publisher = {mathdoc},
     volume = {45},
     number = {5},
     year = {2009},
     mrnumber = {2599113},
     zbl = {1197.37061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2009__45_5_a7/}
}
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Chen, Fei; Chen, Zengqiang; Liu, Zhongxin; Yuan, Zhuzhi. Control a state-dependent dynamic graph to a pre-specified structure. Kybernetika, Tome 45 (2009) no. 5, pp. 801-808. http://geodesic.mathdoc.fr/item/KYB_2009__45_5_a7/