Broadcasting Stabilization for Dynamical Multi-Agent Systems

This paper deals with a stabilization problem for
multi-agent systems, when all agents in a multi-agent system receive
the same broadcasting control signal and the controller can measure
not each agent output but the sum of all agent outputs. It is
analytically shown that when the sum of all agent outputs is bounded
with a certain broadcasting controller for a given reference, each agent
output is separately bounded: stabilization of the sum of agent outputs
always results in the stability of every agent output. A numerical
example is presented to illustrate our theoretic findings in this paper.





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