Asymptotic behavior of a class of multidimensional discrete control systems with periodic nonlinearities and denumerable set of equilibria is investigated. By means of discrete version of Yakubovich-Kalman theorem and certain modification of Lur'e-Postnikov function a frequency-domain criterion which guarantees that every solution of a system tends to an equilibrium is obtained.

Original languageEnglish
Title of host publication3rd IFAC Workshop "Periodic Control Systems", PSYCO'2007 - Final Program and Abstracts
Pages245-249
Number of pages5
EditionPART 1
StatePublished - 1 Dec 2007
Event3rd IFAC Workshop "Periodic Control Systems" - Saint Petersburg, Russian Federation
Duration: 29 Aug 2007 → 31 Aug 2007

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume3
ISSN (Print)1474-6670

Conference

Conference3rd IFAC Workshop "Periodic Control Systems"
Abbreviated titlePSYCO'2007
Country/TerritoryRussian Federation
CitySaint Petersburg
Period29/08/07 → 31/08/07

    Scopus subject areas

  • Control and Systems Engineering

    Research areas

  • Discrete phase systems, Frequency-domain criteria, Gradient-like behavior, Second Lyapunov method, Yakubovich-Kalman theorem

ID: 49011833