13 citations · 34 across the 28 of their papers we have counts for
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math.DS2016★ 8 cited
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…
math.DS2016★ 3 cited
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…
eess.SY2016
Coverage and Field Estimation on Bounded Domains by Diffusive Swarms
Karthik Elamvazhuthi, Chase Adams, Spring Berman
In this paper, we consider stochastic coverage of bounded domains by a diffusing swarm of robots that take local measurements of an underlying scalar field. We introduce three cont…