Geodesic
The methods of the boundary control theory in inverse problem for unhomogeneous string
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 20, Tome 186 (1990), pp. 37-49

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An approach connected with boundary control theory is developed. The authors propose the new procedure to recover the density of a unhomogeneous string. The inverse data is a vibration of the free end of the string, initiated by the instantaneous force impulse. The results of numerical experiments are discussed. 
@article{ZNSL_1990_186_a4,
     author = {M. I. Belishev and T. L. Sheronova},
     title = {The methods of the boundary control theory in inverse problem for unhomogeneous string},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {37--49},
     publisher = {mathdoc},
     volume = {186},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_186_a4/}
}
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M. I. Belishev; T. L. Sheronova. The methods of the boundary control theory in inverse problem for unhomogeneous string. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 20, Tome 186 (1990), pp. 37-49. http://geodesic.mathdoc.fr/item/ZNSL_1990_186_a4/