A Direct Transformation of a Matrix Spectrum

  • Sergey Mikhailovich Skovpen Northern (Arctic) Federal University, Severodvinsk, Russian Federation
  • Albert Iskhakov VNIIEM Corporation' JSC, Moscow, Russian Federation
Keywords: Matrix spectrum, Frobenius matrix, Frobenius transformation, spectral equation.

Abstract

A method is presented forcalculatingamatrix 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 enablesa practical implementation of control algorithms without resort to transformation of variables.

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References

G.A. Leonov, and M.M. Shumafov, “The Methods for Linear Controlled System Stabilization,” St.-Petersburg University Publisher, St.-Petersburg, 2005.

N.T. Kuzovkov, “Modal Control and Observe Devices,” Mashinostroenie, Moscow, 1976.

A.A. Krasovsky, “Control Theory Reference Book,” Nauka, Moscow, 1987.

G.G. Islamov, “On the Control of a Dynamical System Spectrum,” Differential Equations, Vol. 23, No. 8, 1987, ??. 1299-1302.

A. Iskhakov, V. Pospelov, S. Skovpen, “Non-Frobenius Spectrum-Transformation Method”, Applied Mathematics,Vol. 3, No. 1, 2012, pp. 1471-1479.

Published
2015-08-22
How to Cite
Skovpen, S., & Iskhakov, A. (2015). A Direct Transformation of a Matrix Spectrum. Journal of Progressive Research in Mathematics, 5(1), 463-481. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/314
Issue
Vol 5 No 1: JPRM
Section
Articles

Copyright (c) 2015 Journal of Progressive Research in Mathematics

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