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Volume 44 Number 5 Volume 44 Number 6 Volume 45 Number 1

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Research articles

ScienceAsia 44(2018): 444-453 |doi: 10.2306/scienceasia1513-1874.2018.44.444

Mixed lag synchronization between two complex dynamical networks via hybrid feedback control

Xiaoyun Tang, Zhanying Yang?

ABSTRACT:     This paper is concerned with mixed lag synchronization between two complex networks, which means that different state variables of the corresponding nodes can attain lag synchronization, antilag synchronization and even amplitude death simultaneously for a given channel time-delay. By using the Lyapunov stability theory and the LaSalle?s invariance principle, several sufficient conditions for realizing the mixed lag synchronization between two networks are obtained with two kinds of schemes based on pinning feedback control. Finally, some numerical simulations are provided to demonstrate the effectiveness and feasibility of the results.

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a School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, Hubei 430074, China

* Corresponding author, E-mail: yangzhanying8011@163.com

Received 23 Jun 2018, Accepted 20 Sep 2018