Robust Differential Graphical Games of Uncertain Multiagent Systems

This brief consider the problem of robust differential graphical games for multiagent systems (MASs) with modeling uncertainties. A distributed robust control strategy is proposed to address the state consensus and Nash equilibrium optimization problem for uncertain MASs. In particular, our designed control strategy can be appropriate for a weakly restricted communication topology with only one directed spanning tree. Moreover, the asymptotic stability and Nash equilibrium characteristics under the proposed protocol are analyzed in detail. Finally, we provide a numerical simulation example to confirm the effectiveness of the presented algorithm.