Internal Control of The Transition Kernel for Stochastic Lattice Dynamics
Optimization and Control
2024-10-02 v2
Abstract
In [5], we have designed impulsive and feedback controls for harmonic chains with a point thermostat. In this work, we study the internal control for stochastic lattice dynamics, with the goal of controlling the transition kernel of the kinetic equation in the limit. A major novelty of the work is the introduction of a new geometric combinatorial argument, used to establish paths for the controls.
Keywords
Cite
@article{arxiv.2407.03710,
title = {Internal Control of The Transition Kernel for Stochastic Lattice Dynamics},
author = {Amirali Hannani and Minh-Nhat Phung and Minh-Binh Tran and Emmanuel Trélat},
journal= {arXiv preprint arXiv:2407.03710},
year = {2024}
}
Comments
39 pages, 1 figure