500 citations · 2.4k across the 118 of their papers we have counts for
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Distributed Model Predictive Consensus via the Alternating Direction Method of Multipliers
Tyler H. Summers, John Lygeros
We propose a distributed optimization method for solving a distributed model predictive consensus problem. The goal is to design a distributed controller for a network of dynamical…
Approximate Dynamic Programming via Sum of Squares Programming
Tyler H. Summers, Konstantin Kunz, Nikolaos Kariotoglou +3
We describe an approximate dynamic programming method for stochastic control problems on infinite state and input spaces. The optimal value function is approximated by a linear com…
Motion Planning for Continuous Time Stochastic Processes: A Dynamic Programming Approach
Peyman Mohajerin Esfahani, Debasish Chatterjee, John Lygeros
We study stochastic motion planning problems which involve a controlled process, with possibly discontinuous sample paths, visiting certain subsets of the state-space while avoidin…
The Stochastic Reach-Avoid Problem and Set Characterization for Diffusions
Peyman Mohajerin Esfahani, Debasish Chatterjee, John Lygeros
In this article we approach a class of stochastic reachability problems with state constraints from an optimal control perspective. Preceding approaches to solving these reachabili…