Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems

Differing from the existing literature on node consensus, this brief studies consensus taking place on the edges of networked dynamical systems. A distributed edge quasi-consensus protocol is developed to lead the states of all edges to converge into a bounded region. For a connected network with nonnegative initial edge states, it is proved that the edge quasi-consensus can be reached while the states of all edges can be kept nonnegative. Moreover, the nonnegative edge quasi-consensus of networked systems with edge state constraints or input saturation is analyzed, respectively. Numerical simulations are provided to verify the effectiveness of the protocols.