Minimal-order transfer functions of dynamical multi-agent consensus systems


This study deals with transfer functions of a multi-agent consensus system, composed of identical linear time-invariant dynamical agents. Motivated by the very fact that stabilisation of one agent during a multi-agent consensus system with an exogenous controller results in collective stability of all agents, the authors study transfer operate illustration of a controlled agent in a very consensus system. It's shown that the transfer operate order of a controlled agent is usually greater than double the transfer function order of an isolated agent and that the littlest double order is realised if and only if a controlled agent has inter-agent connections with all different agents of a consensus system.

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