Geodesic
Sliding-mode pinning control of complex networks
Kybernetika, Tome 54 (2018) no. 5, pp. 1011-1032.

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In this paper, a novel approach for controlling complex networks is proposed; it applies sliding-mode pinning control for a complex network to achieve trajectory tracking. This control strategy does not require the network to have the same coupling strength on all edges; and for pinned nodes, the ones with the highest degree are selected. The illustrative example is composed of a network of 50 nodes; each node dynamics is a Chen chaotic attractor. Two cases are presented. For the first case the whole network tracks a reference for each one of the states; afterwards, the second case uses the backstepping technique to track a desired trajectory for only one state. Tracking performance and dynamical behavior of the controlled network are illustrated via simulations.
DOI : 10.14736/kyb-2018-5-1011
Classification : 05C82, 93C10, 93D05
Keywords: complex network; pinning control; sliding mode; backstepping; trajectory tracking 
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     author = {Suarez, Oscar J. and Vega, Carlos J. and Elvira-Ceja, Santiago and Sanchez, Edgar N. and Rodriguez, David I.},
     title = {Sliding-mode pinning control of complex networks},
     journal = {Kybernetika},
     pages = {1011--1032},
     publisher = {mathdoc},
     volume = {54},
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     year = {2018},
     doi = {10.14736/kyb-2018-5-1011},
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     zbl = {07031757},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-5-1011/}
}
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Suarez, Oscar J.; Vega, Carlos J.; Elvira-Ceja, Santiago; Sanchez, Edgar N.; Rodriguez, David I. Sliding-mode pinning control of complex networks. Kybernetika, Tome 54 (2018) no. 5, pp. 1011-1032. doi : 10.14736/kyb-2018-5-1011. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-5-1011/

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