Adaptive Pinning Control Of Deteriorated Networks

This paper mainly deals with two problems in deterioration of complex networks.First,as deteriorated networks and uncertainties may lead to performance degradation or even instability of the whole network, an adaptive approach is proposed to adjust unknown coupling factors for the deteriorated network compensations, as well as to estimate controller parameters to compensate the effects of uncertainty on-line without assuming symmetry or irreducibility of networks. Through Lyapunov functions and adaptive schemes, pinning controllers are constructed to ensure that the system of the networks can achieve asymptotic stability in the presence of the network deterioration and uncertainty. Second,adaptive pinning control and coupling adjustment strategies is proposed forcomplex networks with nonideal coupling networks, to solve the problem of asymptotic synchronization of the complex network. According to Lyapunov stability theory, the proposed adaptive strategies are successful in ensuring the achievement of asymptotic synchronization of the complex network even in the presence of perturbed and deteriorated networks.Finally make simulation on the above two methods respectively, and the verification results.