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Optimal switching policies using coarse timesteppers

Antonios Armaou·Ioannis G. Kevrekidis
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Abstract

We present a computer-assisted approach to approximating coarse optimal switching policies for systems described by microscopic/stochastic evolution rules. The coarse timestepper constitutes a bridge between the underlying kinetic Monte Carlo simulation and traditional, continuum numerical optimization techniques formulated in discrete time. The approach is illustrated through a simplified kinetic Monte Carlo simulation of NO reduction on a Pt catalyst: a switch between two coexisting stable steady states is implemented by minimal manipulation of a system parameter.

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Antonios Armaou, Ioannis G. Kevrekidis. 2003-09-05. Optimal switching policies using coarse timesteppers. https://arxiv.org/abs/nlin/0309024

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