On positive edge consensus control of descriptor multiagent systems

This paper investigates an observer-type positive edge consensus problem of the continuous-time linear descriptor systems under the undirected topology. A distributed relative state feedback protocol, whose dynamics are determined by communications between agents and their neighbors, has been proposed to ensure the multiagent system positive edge consensus. In terms of graph theory and linear matrix inequalities, the necessary and sufficient conditions for the existence of the observer and the convergence of the multiagent system have been given. Moreover, several corollaries are also presented, where the design freedom has been remarkably improved. Finally, a numerical example is shown to demonstrate the effectiveness and correctness of the main results.