Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation

被引：4
|
作者：
Sarac, Yesim [1 ]
机构：
[1] Ataturk Univ, Fen Fak, Matemat Bolumu, TR-25240 Erzurum, Turkey
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2013年 / 8卷 / 01期
关键词：
optimal control; wave equation; symbolic computation; BOUNDARY CONTROL; HYPERBOLIC PROBLEM; FINITE-TIME; REST;
D O I：
10.1115/1.4006786
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We get symbolic and numeric solutions developing a MAPLE (R) program which uses the initial velocity on the state variable of a wave equation as control function. Solution of this problem implies the minimization at the final time of the distance measured in a suitable norm between the solution of the problem and a given target. An iterative algorithm is constructed to compute the required optimal control as the limit of a suitable subsequence of controls. Results are tested with some numerical examples. [DOI: 10.1115/1.4006786]
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页数：4
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