Abstract:

This paper considers average consensus problems in directed delayed networked multi-agent systems having fixed topology as well as switching topology from the view of dynamics and control. Based on the impulsive control theory of delayed dynamical systems, two consensus protocols of the networks with communication delays are proposed. Some simple yet generic criteria for solving the average consensus problem are analytically derived. The distinctive features of this work indicate that the first consensus protocol is valid for any communication delays, and the second one is effective for all the nodes of the network achieving average global consensus exponentially. It is shown that the impulsive gain in the protocols plays a key role in seeking average consensus. Moreover, numerical simulations illustrate correctness of our theoretical results.

Key words: consensus problems; delayed networked multiagent systems; directed networks; fixed and switching topology; impulsive consensus protocols; impulsive gain