A method is presented for calculating a matrix spectrum with a given set of eigenvalues. It can be used to build systems with different spectrums with the aim of choosing desired alternative. It enables a practical implementation of control algorithms without resorting to transformation of variables.
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Iskhakov, A., Pospelov, V. and Skovpen, S. (2012) Non-Frobenius Spectrum-Transformation Method. Applied Mathematics, 1, 1471-1479. http://dx.doi.org/10.4236/am.2012.330206