Some New Properties of the Chebyshev Polynomials and Their Use in Analysis and Design of Dynamic Systems

  • Authors:

  • Yu. G. Bulychev;E. Yu. Bulycheva

  • Affiliations:

  • Rostov Military Institute of Rocket Forces, Rostov, Russia;Rostov State University, Rostov, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2003

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Abstract

The possibility of essential simplification of the procedure of approximate analysis and design of various systems obeying the operator equations in appropriate functional spaces was demonstrated by taking into account the new properties of the Chebyshev polynomials of the first and second kinds.