2011•European Journal of PhysicsOpen access

Optimal control of the parametric oscillator

Bjarne Andresen, K. H. Hoffmann, James Nulton, А. М. Цирлин, Peter Salamon

Abstract

We present a solution to the minimum time control problem for a classical harmonic oscillator to reach a target energy E T from a given initial state ( q i , p i ) by controlling its frequency ω, ω min ⩽ ω ⩽ ω max . A brief synopsis of optimal control theory is included and the solution for the harmonic oscillator problem is used to illustrate the theory.

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Key concepts: Physics, Harmonic oscillator, Parametric oscillator, Parametric statistics, Harmonic, Optimal control, Control (management), State (computer science)