Admissible consensus for descriptor multi-agent systems with exogenous disturbances

In this paper, we study the admissible consensus for descriptor multi-agent systems with exogenous disturbances that are generated by the linear systems. The interactive topology among agents is modeled by directed graphs. By using the graph theory, the generalized Riccatti equation, and by designing the exogenous disturbances observer, conditions for admissible consensus of descriptor multi-agent systems with exogenous disturbances are obtained. Finally, a numerical simulation is provided to illustrate our result.