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In a consensus problem, autonomous agents constituting a dynamical system communicate with one another to reach agreement on certain quantities of interest. By merging control theory and spectral graph theory, we generalize the previous consensus problems under nonlinear protocols for networks with undirected graphs to directed graphs. We prove that, when the nonlinear protocol is strictly increasing,...
This paper introduces a new consensus protocol whose features are different from known consensus protocols available in the literature. The relation between discrete coverage algorithms over a convex polygon for solving a facility location problem (n-median problem) along with some notions in agreement over acyclic digraphs have been used to establish a novel constrained consensus protocol. Its convergence...
In this paper, it is researched the consensus problem via dynamic output feedback for linear time-invariant multi-agent systems (LTI-MASs) under fixed topologies. A linear matrix inequality approach for computing the feedback gain is obtained. A numerical simulation is given to illustrate the main result.
We investigate a new consensus problem in networks of dynamic agents, where the agents in a network can reach more than one consistent values asymptotically. It contains such consensus problem as a special case that all agents in a network reach a consistent value asymptotically. When information exchange is undirected, a novel consensus protocol is designed to solve the group consensus problem. The...
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