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Pinning synchronization of two general complex networks with periodically intermittent control

Meng F., Wen B., Zhao M., Bao W.

Archives of Control Sciences

2015

Vol. 25, no. 4

497--512

In this paper, the method of periodically pinning intermittent control is introduced to solve the problem of outer synchronization between two complex networks. Based on the Lyapunov stability theory, differential inequality method and adaptive technique, some simple synchronous criteria have been derived analytically. At last, both the theoretical and numerical analysis illustrate the effectiveness of the proposed control methodology. This method not only reduces the conservatism of control gain but also saves the cost of production.These advantages make this method having a large application scope in the real production process.

Pinning synchronization of the drive and response dynamical networks with lag

Wen B., Zhao M., Meng F.

Archives of Control Sciences

2014

Vol. 24, no. 3

257--270

This paper investigates the pinning synchronization of two general complex dynamical networks with lag. The coupling configuration matrices in the two networks are not need to be symmetric or irreducible. Several convenient and useful criteria for lag synchronization are obtained based on the lemma of Schur complement and the Lyapunov stability theory. Especially, the minimum number of controllers in pinning control can be easily obtained. At last, numerical simulations are provided to verify the effectiveness of the criteria.