Title :
Exponential synchronization for a new class of complex dynamical network with PIPC and hybrid TVD
Author :
Pan, L. ; Voos, Holger ; N´Doye, Ibrahima ; Darouach, Mohamed
Author_Institution :
Interdiscipl. Centre for Security, Univ. of Luxembourg, Luxembourg, Luxembourg
Abstract :
In this paper, the theme of Exponential Synchronization (ES) 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 effective and less conservative. Furthermore, to verify the effectiveness of the proposed theoretical results, Barabasi-Albert Network (BAN) and Nearest-Neighbor Network (NNN) consisting of coupled non-delayed and delay Lee oscillators are finally given as the examples.
Keywords :
Lyapunov methods; complex networks; delays; large-scale systems; oscillators; stability; synchronisation; time-varying systems; BAN; Barabasi-Albert network; Kronecker product rules; LST; Lyapunov stability theory; NNN; PIPC method; complex dynamical network; coupled nondelayed Lee oscillators; delay Lee oscillators; exponential synchronization; hybrid TVD; hybrid time-varying delay; nearest-neighbor network; nontime-varying delay; periodically intermittent pinning control; sufficient conditions; Artificial neural networks; Control systems; Couplings; Delays; Equations; Synchronization; Vectors;
Conference_Titel :
Intelligent Control (ISIC), 2014 IEEE International Symposium on
Conference_Location :
Juan Les Pins
DOI :
10.1109/ISIC.2014.6967598
