Geodesic
An analysis of the pole placement problem I: The single-input case
Electronic transactions on numerical analysis, Tome 4 (1996), pp. 89-105
For the solution of the single-input pole placement problem we derive explicit expressions for the feedback gain matrix as well as the eigenvector matrix of the closed-loop system.
Classification : 65F15, 65F35, 65G05, 93B05, 93B55
Keywords: pole placement, condition number, perturbation theory, Jordan form, explicit formulas, Cauchy matrix, stabilization, feedback gain, distance to uncontrollability 
@article{ETNA_1996__4__a4,
     author = {Mehrmann,  Volker and Xu,  Hongguo},
     title = {An analysis of the pole placement problem {I:} {The} single-input case},
     journal = {Electronic transactions on numerical analysis},
     pages = {89--105},
     year = {1996},
     volume = {4},
     zbl = {0890.65036},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1996__4__a4/}
}
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Mehrmann,  Volker; Xu,  Hongguo. An analysis of the pole placement problem I: The single-input case. Electronic transactions on numerical analysis, Tome 4 (1996), pp. 89-105. http://geodesic.mathdoc.fr/item/ETNA_1996__4__a4/