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Impacts of High and Low Gain Controllers on Remote Channels in Dynamical Networks

Abstract:

The impacts of high and low gain controllers on remote channels in a linear diffusive network model are studied, from a topological perspective. Specifically, we study how a high or low gain controller deployed at one point in the network influences the finite and infinite zero structure of a second channel. The analysis shows how the network's graph topology, the positions of the control channels relative to the topology, and the specifics of the built controller influence the zero structure. The analysis yield conditions under which a deployed controller can induce nonminimum phase behaviors, and also conditions where minimum-phase dynamics are preserved.