Optimal control theory for selective vibrational excitation in molecules

J. G.B. Beumee, Shenghua Shi, Herschel Rabitz

Research output: Contribution to journalConference articlepeer-review


The design of optimal electromagnetic fields producing selective vibrational excitation in molecules modeled as harmonic physical systems is shown to be equivalent to minimizing a quadratic cost functional balancing the energy distribution in the molecule and the fluence of the optical field. To ensure that a desired final excitation is attained, a terminal constraint is introduced for the state. A physically reasonable controller requires that both the weighting parameter on the fluence in the cost functional and the final time be large. The authors present the asymptotic form of the state and costate for large final time using familiar LQG (linear quadratic Gaussian) technqiues and give an approximation of the modes of the linear chain molecule in the limit in which the weighting parameter becomes large. They conclude with a discussion of the choice of practical design parameters.

Original languageEnglish (US)
Pages (from-to)310-313
Number of pages4
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1989
EventProceedings of the 28th IEEE Conference on Decision and Control. Part 1 (of 3) - Tampa, FL, USA
Duration: Dec 13 1989Dec 15 1989

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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