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Some new properties of Chebyshev polynomials and their use in analysis and design of dynamical systems. (English. Russian original) Zbl 1064.93013
Autom. Remote Control 64, No. 4, 554-563 (2003); translation from Avtom. Telemekh. 2003, No. 4, 44-55 (2003).
Summary: The possibility of essential simplification of the procedure of approximate analysis and design of various systems obeying operator equations in appropriate functional spaces is demonstrated by taking into account new properties of the Chebyshev polynomials of the first and the second kind.

MSC:
93B50 Synthesis problems
41A10 Approximation by polynomials
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