Geodesic
Adaptive tracking via pinning in networks of nonidentical nodes
Kybernetika, Tome 54 (2018) no. 1, pp. 30-40 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We investigate the control of dynamical networks for the case of nodes, that although different, can be make passive by feedback. The so-called V-stability characterization allows for a simple set of stabilization conditions even in the case of nonidentical nodes. This is due to the fact that under V-stability characterization the dynamical difference between node of a network reduces to their different passivity degrees, that is, a measure of the required feedback gain necessary to make the node stable at a desired solution. We propose a pinning control strategy that extends this approach to solve the tracking problem, furthermore using an adaptive controller approach we provide a methodology to impose a common reference trajectory to a network of different nodes by pinning only a few of them to the desired solution. We illustrate our results with numerical simulation of well-known benchmark systems.
We investigate the control of dynamical networks for the case of nodes, that although different, can be make passive by feedback. The so-called V-stability characterization allows for a simple set of stabilization conditions even in the case of nonidentical nodes. This is due to the fact that under V-stability characterization the dynamical difference between node of a network reduces to their different passivity degrees, that is, a measure of the required feedback gain necessary to make the node stable at a desired solution. We propose a pinning control strategy that extends this approach to solve the tracking problem, furthermore using an adaptive controller approach we provide a methodology to impose a common reference trajectory to a network of different nodes by pinning only a few of them to the desired solution. We illustrate our results with numerical simulation of well-known benchmark systems.
DOI : 10.14736/kyb-2018-1-0030
Classification : 05C82, 34H05, 49K15
Keywords: complex networks; tracking problem; pinning control; adaptive control 
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     author = {Barajas-Ram{\'\i}rez, Juan Gonzalo},
     title = {Adaptive tracking via pinning in networks of nonidentical nodes},
     journal = {Kybernetika},
     pages = {30--40},
     year = {2018},
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     zbl = {06861612},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-1-0030/}
}
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Barajas-Ramírez, Juan Gonzalo. Adaptive tracking via pinning in networks of nonidentical nodes. Kybernetika, Tome 54 (2018) no. 1, pp. 30-40. doi: 10.14736/kyb-2018-1-0030

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