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Title: Control a state-dependent dynamic graph to a pre-specified structure (English)
Author: Chen, Fei
Author: Chen, Zengqiang
Author: Liu, Zhongxin
Author: Yuan, Zhuzhi
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 45
Issue: 5
Year: 2009
Pages: 801-808
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: state-dependent graph
Keyword: Lasalleś Invariant Principle
Keyword: dynamic system
MSC: 34D20
MSC: 37F99
MSC: 93D20
idZBL: Zbl 1197.37061
idMR: MR2599113
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Date available: 2010-06-02T19:15:22Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/140044
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