The use of orthogonal polynomials in the differential transformations

Author

Golovin, E.D. ; Stoukatch, O.V.

Author_Institution

Tomsk State Univ. of Control Syst. & Radioelectronics, Russia

fYear

2001

fDate

2001

Firstpage

105

Lastpage

108

Abstract

In electrical engineering, automation, mechanics and other fields the integration transformations have been widely spread. The initial differential equations are transformed to the more simply algebraic equations by this transformation. However, application of these operators does not give the analysis of systems with variable and nonlinear parameters, especially at study of nonstationary processes, appreciable advantages on comparison with the known numerical methods. For the problem solution it is possible to take an advantage of conversion to basis of first kind of orthogonal Chebyshev polynomials, and also to basis of biased Chebyshev polynomials

Keywords

polynomials; algebraic equations; automation; biased Chebyshev polynomials; differential transformations; electrical engineering; mechanics; nonlinear parameters; nonstationary processes; orthogonal Chebyshev polynomials; orthogonal polynomials; transformations integration; Control system synthesis; Differential algebraic equations; Differential equations; Image restoration; Image segmentation; Materials science and technology; Mathematical model; Nonlinear control systems; Nonlinear equations; Radio control;

fLanguage

English

Publisher

ieee

Conference_Titel

Modern Techniques and Technology, 2001. MTT 2001. Proceedings of the 7th International Scientific and Practical Conference of Students, Post-graduates and Young Scientists

Conference_Location

Tomsk

Print_ISBN

0-7803-6346-9

Type

conf

DOI

10.1109/MTT.2001.983756

Filename

983756