Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control
Fei Wang,
Yongqing Yang,
Manfeng Hu and
Xianyun Xu
Physica A: Statistical Mechanics and its Applications, 2015, vol. 434, issue C, 134-143
Abstract:
This paper investigates the projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control. The pinning control method is employed in designing controllers for guaranteeing projective cluster synchronization. Based on the Lyapunov stability theory and well-known Barbalat’s lemma, some new sufficient conditions are derived to guarantee the projective cluster synchronization of the fractional-order complex network. A numerical simulation is given to verify the effectiveness of the theoretical results.
Keywords: Fractional-order; Complex networks; Projective cluster synchronization; Coupled-delay; Riemann–Liouville; Pinning control (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (14)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:434:y:2015:i:c:p:134-143
DOI: 10.1016/j.physa.2015.03.089
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