κ-distributed LQR controllers achieve performance exponentially close to the centralized optimum under stabilizability, detectability, and subexponential graph growth.
Ho et al., Team decision theory and information structures in optimal control problems– Part I, IEEE Transactions on Automatic control, 17 (1972), pp
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Near-Optimal Distributed Linear-Quadratic Regulator for Networked Systems
κ-distributed LQR controllers achieve performance exponentially close to the centralized optimum under stabilizability, detectability, and subexponential graph growth.