145 citations · 302 across the 16 of their papers we have counts for
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math.OC2011★ 14 cited
An Optimal Controller Architecture for Poset-Causal Systems
Parikshit Shah, Pablo Parrilo
We propose a novel and natural architecture for decentralized control that is applicable whenever the underlying system has the structure of a partially ordered set (poset). This c…
math.ST2011
Group Symmetry and Covariance Regularization
Parikshit Shah, Venkat Chandrasekaran
Statistical models that possess symmetry arise in diverse settings such as random fields associated to geophysical phenomena, exchangeable processes in Bayesian statistics, and cyc…
math.OC2011★ 145 cited
H_2-Optimal Decentralized Control over Posets: A State-Space Solution for State-Feedback
Parikshit Shah, Pablo A. Parrilo
We develop a complete state-space solution to H_2-optimal decentralized control of poset-causal systems with state-feedback. Our solution is based on the exploitation of a key sepa…