Geodesic
Perturbation analysis for eigenstructure assignment of linear multi-input systems
Electronic transactions on numerical analysis, Tome 11 (2000), pp. 25-42
The state-feedback pole (or eigenvalue) assignment problem is a fundamental problem in control system design. The term $eigenstructure$ denotes the specification of eigenvalues $and$ eigenvectors (or certain properties of the latter). Normally, the eigenvectors are calculated as an intermediate solution. In assignment for multi-input systems, the solution (the feedback matrix) is not unique. However, the solution is unique if the eigenvectors are set.
Classification : 15A18, 65F15, 65F35, 93B55
Keywords: controllable system, state feedback, eigenstructure assignment, multi-input pole assignment, perturbation analysis 
@article{ETNA_2000__11__a6,
     author = {Cawood,  M.E. and Cox,  C.L.},
     title = {Perturbation analysis for eigenstructure assignment of linear multi-input systems},
     journal = {Electronic transactions on numerical analysis},
     pages = {25--42},
     year = {2000},
     volume = {11},
     zbl = {0965.93061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2000__11__a6/}
}
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Cawood,  M.E.; Cox,  C.L. Perturbation analysis for eigenstructure assignment of linear multi-input systems. Electronic transactions on numerical analysis, Tome 11 (2000), pp. 25-42. http://geodesic.mathdoc.fr/item/ETNA_2000__11__a6/