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Sparse resource allocation to shape a network dynamical process is studied. Specifically, we consider allocating limited distributed control resources among a subset of a network's nodes, to minimize the dominant eigenvalue of a linear dynamical spread process associated with the network. Structural characterizations of the closed-loop dynamics at the optimum are obtained. These results are then used...
Sparse controls for network spread dynamics are explored, in the context of a linearized model for infection spread in networks. Limits and comparisons are established on the control performance, which hold regardless of the type of controller used (centralized or decentralized, dynamic or static, linear or nonlinear). More refined characterizations are obtained for proportional decentralized controls...
The control of dynamical processes in networks is considered, in the case where measurement and actuation capabilities are sparse and possibly remote. Specifically, we study control of a canonical network dynamics, when only one network component's state can be measured and only one (in general different) component can be actuated. To do so, we characterize the finite- and infinite- zeros of the resulting...
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