Bipartite consensus of descriptor multi-agent systems via adaptive control

The bipartite consensus problem of descriptor multi-agent systems with continuous-time linear dynamics and Lipschitiz nonlinearity is considered in this paper. The interaction topology is assumed an undirect signed graph. Based on the general Riccati equation, a distribute adaptive protocol is presented to solve the bipartite consensus problem. Some sufficient consensus conditions are established to guarantee the descriptor multi-agent system achieves consensus. Besides, we also investigated the descriptor systems with nonlinearity dynamics due to its application in real world. Furthermore, the consensus adaptive protocol is proposed. Finally, a simulation example is provided to illustrate the obtained results.