Early ideas of the absolute stability theory

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Abstract

Absolute stability theory is an important and historically the first systematic part of automatic control theory. The ideas and methods developed by its founders influenced subsequent development of nonlinear control, robust control, etc. In this paper the early ideas of the absolute stability and their development are outlined. Most attention is paid to the results born in St. Petersburg (Leningrad) in the 1940s-1960s, since the author knows this area better. The development of the absolute stability theory during those years was primarily associated with the names of outstanding scientists Anatoly Lurie, Efim Rosenwasser, Vladimir Yakubovich, whose results are addressed more often.

Original languageEnglish
Title of host publicationEuropean Control Conference 2020, ECC 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages762-768
Number of pages7
ISBN (Electronic)9783907144015
StatePublished - May 2020
Event19th European Control Conference, ECC 2020 - Russia, Saint Petersburg, Russian Federation
Duration: 12 May 202015 May 2020
https://ecc20.eu/

Publication series

NameEuropean Control Conference 2020, ECC 2020

Conference

Conference19th European Control Conference, ECC 2020
Abbreviated titleECC
CountryRussian Federation
CitySaint Petersburg
Period12/05/2015/05/20
Internet address

Scopus subject areas

  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Systems Engineering
  • Mechanical Engineering
  • Computational Mathematics
  • Control and Optimization

Keywords

  • circle criterion
  • Lurie system
  • quadratic Lyapunov function
  • S-procedure

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