Conditions for Consensus of Multi-Agent Systems With Time-Delays and Uncertain Switching Topology
Heitor Judiss Savino, Carlos R. P. dos Santos, Fernando O. Souza, Luciano C. A. Pimenta, Maurício Carvalho de Oliveira, Reinaldo M. Palhares · IEEE Transactions on Industrial Electronics · 2015
This paper proposes a new approach for the analysis of consensus of multi-agent systems subject to time-varying delayed control inputs and switching topology. The main contribution is a condition for consensus for a networked system based on linear matrix inequalities that takes into account the joint effect of time-varying delays and switching network topology. Topology changes are modeled using Markov jumps with uncertain rates of transitions. A practical example is shown to illustrate the main result in various scenarios.