Research ArticleOpen AccessGoogle Scholar indexed
Non-Frobenius Spectrum-Transformation Method
Department of Management, Concern Morinformsystem-Agat, Joint Stock Company, Moscow, Russia
Department of Management, Military-Industrial Commission of the Russian Federation, Moscow, Russia
Department of Automatics, Institute of Shipbuilding and Marine Arctic Equipment, Severodvinsk, Russia
- 1 Department of Management, Concern Morinformsystem-Agat, Joint Stock Company, Moscow, Russia
- 2 Department of Management, Military-Industrial Commission of the Russian Federation, Moscow, Russia
- 3 Department of Automatics, Institute of Shipbuilding and Marine Arctic Equipment, Severodvinsk, Russia
Applied Mathematics·Volume 03 (2012)·Pages 1471–1479·Published 31 October 2012·DOI10.4236/am.2012.330206
Copy link · social · email
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.
KeywordsMatrix SpectrumModal ControlSpectrum TransformationFrobenius MatrixLinear Spectral TransformationNon-Frobenius Transformation
- R. Gabasov and F. M. Kirillova, “Mathematical Theory of Optimal Control. Results of Since and Engineering,” Mathematical Analysis, Vol. 16, 1979, pp. 55-97.
- G. G. Islamov, “On the Control of a Dynamical System Spectrum,” Differential Equations, Vol. 23, No. 8, 1987, pp. 1299-1302.
- N. T. Kuzovkov, “Modal Control and Observe Devices,” Mashinostroenie, Moscow, 1976.
- A. A. Krasovsky, “Control Theory Reference Book,” Nauka, Moscow, 1987.
- G. A. Leonov and M. M. Shumafov, “The Methods for Linear Controlled System Stabilization,” St.-Petersburg University Publisher, St.-Petersburg, 2005.
- V. V. Voevodin and Y. A. Kuznetsov, “Matrices and Calculations,” Nauka, Moscow, 1984.
- R. Isermann, “Digital Control Systems,” Springer-Verlag, New York, 1996.