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— We consider the problem of growing connected networks of resistors where effective resistance is used as a performance metric. This problem can be cast as a semidefinite program by introducing an 1 regularization into the optimal control formulation. For small networks this problem can be solved via standard interior point method solvers (e.g., SeDuMi or… (More)

- Sepideh Hassan-Moghaddam, Mihailo R. Jovanovi'c
- 2015

— We study an optimal control problem aimed at achieving a desired tradeoff between the network coherence and communication requirements in the distributed controller. Our objective is to add a certain number of edges to an undirected network, with a known graph Laplacian, in order to optimally enhance closed-loop performance. To promote controller… (More)

- Sepideh Hassan-Moghaddam, Mihailo R. Jovanovi'c
- 2015

— We study an optimal control problem aimed at achieving a desired tradeoff between the network coherence and communication requirements in the distributed controller. Our objective is to add a certain number of edges to an undirected network, with a known graph Laplacian, in order to optimally enhance closed-loop performance. To promote controller… (More)

— We consider the problem of optimal topology identification and design of the corresponding edge weights for stochastically-forced undirected networks. By introducing 1-regularization into the optimal control formulation aimed at minimizing the steady-state variance amplification, this problem can be cast as a semidefinite program. Standard interior-point… (More)

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