Optimal Control and Closed-Loop Stability of Droplet Transport in a Microchannel

arXiv:2609.19320 · eess.SY, cs.SY, math.OC, physics.flu-dyn · Submitted 2026-09-16 · Read on arXiv

eess.SY, cs.SY, math.OC, physics.flu-dyn

Submitted: 2026-09-16

Updated: 2026-09-16

Comments: 35 pages, 9 figures, The complete source code for the ODEs, PDEs, and detailed finite element implementations will be released at https://github.com/rajneeshanand/DropletOC

Code: https://github.com/rajneeshanand/DropletOC

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

Optimal Transport — 12× in this paper · explained in 5 episodes
Lyapunov function — 11× in this paper · explained in 2 episodes
Fidelity — 4× in this paper · explained in 2 episodes
Regularization — 4× in this paper · explained in 3 episodes
Adam — 3× in this paper · explained in 2 episodes
Adaptation — 3× in this paper · explained in 1 episode
Reinforcement Learning — 2× in this paper · explained in 4 episodes
Verification — 2× in this paper · explained in 2 episodes
Accuracy — 1× in this paper · explained in 1 episode
Bayesian Optimization — 1× in this paper · explained in 3 episodes
Center of Mass (CoM) — 1× in this paper · explained in 2 episodes
Closed-Loop System — 1× in this paper · explained in 4 episodes
Cooperation — 1× in this paper · explained in 2 episodes
Dynamic Modeling — 1× in this paper · explained in 3 episodes
Interpretability — 1× in this paper · explained in 15 episodes
Model Predictive Control (MPC) — 1× in this paper · explained in 5 episodes
Objective Function — 1× in this paper · explained in 2 episodes
Ordinary Differential Equations (ODEs) — 1× in this paper · explained in 2 episodes
PID Controller — 1× in this paper · explained in 2 episodes
Robustness — 1× in this paper · explained in 5 episodes
Topological Defects — 1× in this paper · explained in 2 episodes

Terminology

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