Abstract
The singularly perturbed relay control systems (SPRCS) are examined. The mathematical apparatus for investigation of the fast periodic oscillations of SPRCS is developed. The theorem about existence of fast periodic solution of SPRCS is proved. The theorem about averaging is given. It is proved that the slow motions in SPRCS with fast periodic solutions are approximately described by equations obtained from the equations for the slow variables of SPRCS by averaging along fast periodic motions. The algorithm of asymptotic representation for the fast periodic solution of SPRCS is suggested. The algorithm for correction of the averaged equation is given. The stability of the fast periodic solution is investigated.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
