ERIC Number: EJ931551
Record Type: Journal
Publication Date: 2011-May
Pages: 17
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0143-0807
EISSN: N/A
Optimal Control of the Parametric Oscillator
Andresen, B.; Hoffmann, K. H.; Nulton, J.; Tsirlin, A.; Salamon, P.
European Journal of Physics, v32 n3 p827-843 May 2011
We present a solution to the minimum time control problem for a classical harmonic oscillator to reach a target energy E[subscript T] from a given initial state (q[subscript i], p[subscript i]) by controlling its frequency [omega], [omega][subscript min] less than or equal to [omega] less than or equal to [omega][subscript max]. A brief synopsis of optimal control theory is included and the solution for the harmonic oscillator problem is used to illustrate the theory. (Contains 6 footnotes and 6 figures.)
Descriptors: Science Instruction, Energy, Scientific Concepts, Problem Solving, Theories, Equations (Mathematics), College Science
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A