The global control of a nonlinear wave equation
作者:
M. H FARAHI,
J. E RUBIO,
D. A WILSON,
期刊:
International Journal of Control
(Taylor Available online 1996)
卷期:
Volume 65,
issue 1
页码: 1-15
ISSN:0020-7179
年代: 1996
DOI:10.1080/00207179608921683
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We consider in this paper the existence and numerical estimation of the distributed control of a nonlinear wave equation with an integral performance criterion and fixed final states. The problem is modified into one consisting of the minimization of a linear form over a set of pairs of positive measures satisfying linear constrains. The minimization in the new problem is global and can be approximated by a finite-dimensional linear programming problem. The solution of this problem is used to construct a nearly optimal control. An example is given to illustrate the procedure.
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