Geodesic
Application of boundary control theory methods to spectral inverse problem for inhomogeneous string
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 14-22

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Spectral inverse problem for inhomogeneous string is solved by means of boundary control theory methods. The algorithm of reconstruction of the string density is obtained. Numerical experiments confirm the efficiency of the method. 
@article{ZNSL_1989_179_a1,
     author = {M. I. Belishev and A. P. Katchalov},
     title = {Application of boundary control theory methods to spectral inverse problem for inhomogeneous string},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {14--22},
     publisher = {mathdoc},
     volume = {179},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a1/}
}
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M. I. Belishev; A. P. Katchalov. Application of boundary control theory methods to spectral inverse problem for inhomogeneous string. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 14-22. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a1/