2,312 publications from this institution
This paper addresses the distributed H ∞ consensus problem of linear or linearized multi-agent systems subject to external disturbances. A distributed consensus protocol is proposed, based on the relative states of neighboring agents. The distributed H ∞ consensus problem of such a multi-agent network is cast into the H ∞ control problem of a set of independent systems having the same dimension as that of a single agent. The notion of H ∞ consensus region is then introduced and analyzed. A necessary and sufficient condition for the existence of a protocol having an unbounded H ∞ consensus region is derived. A multi-step procedure is further presented for constructing such a protocol. It is shown that the H ∞ performance limit of the consensus of the multi-agent network is equal to the minimal H ∞ norm of a single agent achieved by using a state feedback controller.
We investigate the impact of short-term plasticity on spike propagation in neuronal networks. We shown that for different combinations of the synaptic rise and decay time, neurons in the network exhibit a variety of different spike propagation transitions as the parameter related to the short-term plasticity increases. We establish the criteria for the existence and stability of simple and composite traveling waves, and we verify the analytical results by means of numerical simulations. Interestingly, we discover that the coexistence of simple and composite traveling waves, as well as the coexistence of stable and unstable waves is possible, provided only the short-term plasticity is properly set.