113 citations · 456 across the 21 of their papers we have counts for
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Optimal transport over nonlinear systems via infinitesimal generators on graphs
Karthik Elamvazhuthi, Piyush Grover
We present a set-oriented graph-based computational framework for continuous-time optimal transport over nonlinear dynamical systems. We recover provably optimal control laws for s…
Optimal perturbations for nonlinear systems using graph-based optimal transport
Piyush Grover, Karthik Elamvazhuthi
We formulate and solve a class of finite-time transport and mixing problems in the set-oriented framework. The aim is to obtain optimal discrete-time perturbations in nonlinear dyn…
On optimal performance of nonlinear energy sinks in multiple-degree-of-freedom systems
Astitva Tripathi, Piyush Grover, Tamas Kalmár-Nagy
We study the problem of optimizing the performance of a nonlinear spring-mass-damper attached to a class of multiple-degree-of-freedom systems. We aim to maximize the rate of one-w…