Explicit adaptive synchronization of multi-agent uncertain systems with heterogeneous dynamic networks

This paper proposes an explicit adaptive algorithm to solve the problem of heterogeneous dynamic synchronization of multi-agent uncertain systems. Different from the existing works, the proposed algorithm depends on less control parameters and achieves zero synchronization error between the agents of heterogeneous uncertain dynamic networks and virtual target. By introducing appropriate assumptions, a class of explicit adaptive synchronization protocols is designed based on a combination of the virtual target's states, distributed feedback gain, and the limited neighboring agents' information. By using Lyapunov function approach, it is proved that the explicit adaptive synchronization problem of closed-loop multi-agent uncertain systems with heterogeneous dynamic networks can be solved, if the control parameters of the explicit adaptive synchronization algorithm are suitably selected. Finally, an example is given to demonstrate the proposed theory.