Model Following Adaptive Control of Complex Dynamical Networks with the Adaptive Coupling

In this research, the model following adaptive control problem for the complex dynamical networks with adaptive coupling is investigated. Firstly, from the large-scale system perspective, the complex dynamical networks studied in this paper is composed of many nodes coupled with each other, where each node is a dynamic basic unit with detailed content, which is modeled by the vector differential equation. Next, based on the Lyapunov stability theory, an appropriate adaptive control scheme and the adaptive coupling are designed for the controller plant, so that the controlled plant can asymptotically track its model following target. Furthermore, each node has a different model following target, which is actually achieve multi-target tracking control. Finally, numerical simulation is given to verify the effectiveness and correctness of the control scheme proposed in this paper.