Control of classical regime molecular objectives - Applications of tracking and variations on the theme

Yu Chen, Peter Gross, Viswanath Ramakrishna, Herschel Rabitz, Kenneth Mease, Harjinder Singh

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

We examine the applicability of variations of exact tracking, including asymptotic tracking, statedependent trajectory tracking, and competitive tracking, for the problem of generating feasible external laser fields for control of classically modeled molecular motion via external laser fields. Applications are considered to the selective unimolecular dissociation of the stronger bond of highly coupled linear triatomic molecules. Specifically, we explore two variations of exact tracking, namely, asymptotic energy tracking and competitive acceleration tracking. It is found that, in the former case, a high degree of physical intuition is needed to specify a desirable energy track a priori. In the latter case, less physical intuition is necessary since we only need to specify the desired accelerations for given displacements, momenta and potential at each time instead of following a prescribed track. However, a trade-off with this method arises due to the difficulty in predicting the relevant observables such as the dissociation probability before actually integrating the equations of motions.

Original languageEnglish (US)
Pages (from-to)1617-1633
Number of pages17
JournalAutomatica
Volume33
Issue number9
DOIs
StatePublished - Sep 1997

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Keywords

  • Control
  • Lasers
  • Molecules

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