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• W2097992179 abstract "Several recent control applications consider the coordination of subsystems through local interaction. Often the interaction has a symmetry in state space, e.g. invariance with respect to a uniform translation of all subsystem values. The present paper shows that in presence of such symmetry, fundamental properties can be highlighted by viewing the distributed system as the discrete approximation of a partial differential equation. An important fact is that the symmetry on the state space differs from the popular spatial invariance property, which is not necessary for the present results. The relevance of the viewpoint is illustrated on two examples: (i) ill-conditioning of interaction matrices in coordination/consensus problems and (ii) the string instability issue." @default.
• W2097992179 created "2016-06-24" @default.
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• W2097992179 date "2009-12-01" @default.
• W2097992179 modified "2023-09-24" @default.
• W2097992179 title "A PDE viewpoint on basic properties of coordination algorithms with symmetries" @default.
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• W2097992179 doi "https://doi.org/10.1109/cdc.2009.5400570" @default.
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