A Direct Transformation of a Matrix Spectrum

Abstract

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.

Share and Cite:

Iskhakov, A. and Skovpen, S. (2015) A Direct Transformation of a Matrix Spectrum. Advances in Linear Algebra & Matrix Theory, 5, 109-128. doi: 10.4236/alamt.2015.53011.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Leonov, G.A. and Shumafov, M.M. (2005) The Methods for Linear Controlled System Stabilization. St.-Petersburg University Publisher, St.-Petersburg.
[2] Kuzovkov, N.T. (1976) Modal Control and Observe Devices. Mashinostroenie, Moscow.
[3] Krasovsky, A.A. (1987) Control Theory Reference Book. Nauka, Moscow.
[4] Islamov, G.G. (1987) On the Control of a Dynamical System Spectrum. Differential Equations, 8, 1299-1302.
[5] 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

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.