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Optimal Coatings, Bang‐Bang Controls, And Gradient Techniques
Author(s) -
Hager William W.,
Rostamian Rouben
Publication year - 1987
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660080102
Subject(s) - bang–bang control , viscoelasticity , coating , optimal control , reflection (computer programming) , reflectivity , control theory (sociology) , control (management) , mathematics , computer science , mathematical analysis , mathematical optimization , materials science , physics , optics , composite material , artificial intelligence , programming language
A model for a viscoelastic coating is derived and the coating reflectivity is determined. A coating which minimizes the reflection of sound waves is partly bang‐bang and partly singular. A new gradient type algorithm is presented for computing the optimal control. Formulae for the gradient of the cost in optimal control are derived in various settings.