Exponential synchronization for a new class of complex dynamical network with PIPC and hybrid TVD

Lin Pan,Holger Voos,Ibrahima N'Doye,Mohamed Darouach

doi:10.1109/isic.2014.6967598

Exponential synchronization for a new class of complex dynamical network with PIPC and hybrid TVD

Lin Pan, Holger Voos + Show 2 more

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https://doi.org/10.1109/isic.2014.6967598

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Publication Date: Oct 1, 2014

Citations: 1

Affiliation: University of Luxembourg, King Abdullah University of Science and Technology, Research Center for Automatic Control of Nancy, French National Centre for Scientific Research, Université de Lorraine

#Class Of Complex Dynamical Network #Complex Dynamical Networks + Show 8 more

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Abstract

In this paper, the Exponential Synchronization (ES) problem for a new class of Complex Dynamical Networks (CDN) with hybrid Time-Varying Delay (TVD) and Non-Time-Varying Delay (NTVD) nodes is investigated by using coupling Periodically Intermittent Pinning Control (PIPC). Based on the Lyapunov Stability Theory (LST), Kronecker product rules and PIPC method, sufficient conditions for ES and PIPC criteria of such CDN are derived. The obtained results are less conservative and effective. Furthermore, to verify the effectiveness of the addressed theoretical results, Barab\'{a}si-Albert Network (BAN) and Nearest-Neighbor Network (NNN) consisting of coupled non-delayed and delay Lee oscillators are finally given as the examples.

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