Advanced Modeling and Optimization, Volume (21), No (3), Year (2010-11) , Pages (363-382)

Title : ( Time optimal control problem of the wave equation )

Authors: A. R. Nazemi , Sohrab Effati ,

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To obtain a control function which puts the wave equation in an unknown minimum time into a stationary regime is considered is considered. Using an embedding method, the problem of ¯nding the time optimal control is reduced to one consisting of minimizing a linear form over a set of positive measures. The resulting problem can be approximated by a finite dimensional linear programming (LP) problem. The nearly optimal control is constructed from the solution of the final LP problem. To find the lower bound of the optimal time a search algorithm is proposed. Some examples demonstrate the e®ectiveness of the method.


, : Wave equation, functional space, measure space, time optimal control, linear
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author = {A. R. Nazemi and Effati, Sohrab},
title = {Time optimal control problem of the wave equation},
journal = {Advanced Modeling and Optimization},
year = {2010},
volume = {21},
number = {3},
month = {November},
issn = {1841-4311},
pages = {363--382},
numpages = {19},
keywords = {: Wave equation; functional space; measure space; time optimal control; linear programming},


%0 Journal Article
%T Time optimal control problem of the wave equation
%A A. R. Nazemi
%A Effati, Sohrab
%J Advanced Modeling and Optimization
%@ 1841-4311
%D 2010