52 citations · 140 across the 20 of their papers we have counts for
4 papers · 1 filter
Controllability of Hypergraphs
Can Chen, Amit Surana, Anthony Bloch +1
In this paper, we develop a notion of controllability for hypergraphs via tensor algebra and polynomial control theory. Inspired by uniform hypergraphs, we propose a new tensor-bas…
Energy Optimization in Binary Star Systems: Explanation for Equal Mass Members in Close Orbits
Fred C. Adams, Konstantin Batygin, Anthony M. Bloch
Observations indicate that members of close stellar binaries often have mass ratios close to unity, while longer-period systems exhibit a more uniform mass-ratio distribution. This…
Energy Optimization in Extrasolar Planetary Systems: The Transition from Peas-in-a-Pod to Runaway Growth
Fred C. Adams, Konstantin Batygin, Anthony M. Bloch +1
Motivated by the trends found in the observed sample of extrasolar planets, this paper determines tidal equilibrium states for forming planetary systems --- subject to conservation…
Data-Driven Model Reduction for Multilinear Control Systems via Tensor Trains
Can Chen, Amit Surana, Anthony Bloch +1
In this paper, we explore the role of tensor algebra in balanced truncation (BT) based model reduction/identification for high-dimensional multilinear/linear time invariant systems…