Adaptive pinning control of complex networks of Lur´e systems

This paper is concerned with the pinning control of networks of Lur´e type nonlinear oscillators through an innovative decentralized adaptive approach. In particular, time-varying feedback coupling and control gains are considered, whose derivatives are function of local error over each edge in the network. The strategy is shown to be successful in controlling the network to the desired trajectory. The theoretical derivation is complemented by its validation on a representative example.