On Adaptive Synchronization in Complex Networks
The pinning adaptive synchronization of a class of weighted complex networks is investigated in detail and several criteria are obtained for locally exponentially asymptotic synchronization. The detailed number of pinned nodes to achieve network synchronization can be estimated by calculating the eigenvalue of the minor matrix of extended coupling matrix. Compared with the general adaptive controllers, the convergence speed of the proposed pinning adaptive controllers is greatly enhanced by an adjustable parameter.
Helen Zhang, Gang Shen and David Jin
S. L. Li et al., "On Adaptive Synchronization in Complex Networks", Advanced Materials Research, Vols. 225-226, pp. 449-452, 2011