Non-Frobenius Spectrum-Transformation Method ()
Albert Iskhakov,
Vladimir Pospelov,
Sergey Skovpen
Department of Automatics, Institute of Shipbuilding and Marine Arctic Equipment, Severodvinsk, Russia.
Department of Management, Concern Morinformsystem-Agat, Joint Stock Company, Moscow, Russia.
Department of Management, Military-Industrial Commission of the Russian Federation, Moscow, Russia.
DOI: 10.4236/am.2012.330206
PDF
HTML XML
4,921
Downloads
7,196
Views
Citations
Abstract
A method allowing a desirable matrix spectrum to be constructed as an alternative to the method using matrix transformation to the Frobenius form is stated. It can be applied to implement control algorithms for technical systems without executing the variables transformation procedures that are needed for deriving a Frobenius matrix. The method can be used for simulation of systems with different spectrums for choosing an alternative that satisfies to the distinct demands.
Share and Cite:
A. Iskhakov, V. Pospelov and S. Skovpen, "Non-Frobenius Spectrum-Transformation Method,"
Applied Mathematics, Vol. 3 No. 10A, 2012, pp. 1471-1479. doi:
10.4236/am.2012.330206.
Conflicts of Interest
The authors declare no conflicts of interest.
References
[1]
|
R. Gabasov and F. M. Kirillova, “Mathematical Theory of Optimal Control. Results of Since and Engineering,” Mathematical Analysis, Vol. 16, 1979, pp. 55-97.
|
[2]
|
G. G. Islamov, “On the Control of a Dynamical System Spectrum,” Differential Equations, Vol. 23, No. 8, 1987, pp. 1299-1302.
|
[3]
|
N. T. Kuzovkov, “Modal Control and Observe Devices,” Mashinostroenie, Moscow, 1976.
|
[4]
|
A. A. Krasovsky, “Control Theory Reference Book,” Nauka, Moscow, 1987.
|
[5]
|
G. A. Leonov and M. M. Shumafov, “The Methods for Linear Controlled System Stabilization,” St.-Petersburg University Publisher, St.-Petersburg, 2005.
|
[6]
|
V. V. Voevodin and Y. A. Kuznetsov, “Matrices and Calculations,” Nauka, Moscow, 1984.
|
[7]
|
R. Isermann, “Digital Control Systems,” Springer-Verlag, New York, 1996.
|