Hard Problems in Linear Control Theory: Possible Approaches to Solution

  • Authors:
  • B. T. Polyak;P. S. Shcherbakov

  • Affiliations:
  • Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia;Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2005

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Abstract

A number of challenging problems in linear control theory are considered which admit simple formulation and yet lack efficient solution methods. These problems relate to the classical theory of linear systems as well as to the robust theory where the system description contains uncertainty. Various solution methods are discussed and the results of numerical simulations are given.