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Numerical approximation of the exact control for the string equation. (English) Zbl 1049.65060
Summary: We implement the results obtained by F. P. Vasilyev M. A. Kurzhanskij, and A. V. Razgulin [Vestn. Mosk. Univ., Ser. XV 1993, No. 2, 3–7 (1993; Zbl 0854.93070)] on the numerical approximation of the exact control for the string equation. The computational part and the respective graphs are made for a particular case. For that we have applied the Residue Theorem of holomorphic functions, which, as far as we know, is the first time that this theorem is applied in the computational study of exact control problems.

MSC:
65K10 Numerical optimization and variational techniques
35L15 Initial value problems for second-order hyperbolic equations
93C20 Control/observation systems governed by partial differential equations
93B05 Controllability
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