Adaptive tracking via pinning in networks of nonidentical nodes

Barajas-Ramírez, Juan Gonzalo

Kybernetika, Tome 54 (2018) no. 1, pp. 30-40

Abstract (VO)

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.

Détail

DOI : 10.14736/kyb-2018-1-0030

Classification : 05C82, 34H05, 49K15
Keywords: complex networks; tracking problem; pinning control; adaptive control

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