A Direct Transformation of a Matrix Spectrum

Sergey Mikhailovich Skovpen, Albert Iskhakov

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.


Keywords


Matrix spectrum, Frobenius matrix, Frobenius transformation, spectral equation.

Full Text:

PDF

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.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2015 Journal of Progressive Research in Mathematics

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Copyright © 2016 Journal of Progressive Research in Mathematics. All rights reserved.

ISSN: 2395-0218.

For any help/support contact us at editorial@scitecresearch.com, jprmeditor@scitecresearch.com.