EXPONENTIAL DECAY OF OSCILLATIONS IN A MULTIDIMENSIONAL DELAY DIFFERENTIAL SYSTEM

Research output: Contribution to journalConference articlepeer-review

Abstract

We consider a multi-dimensional dynamical system with a discontinuous delayed part, which is a model of a relay type negative feedback with an uncertain time delay. Our main result consists of a sufficient criterion for an exponential decay of oscillations even when the non-delayed part of the system has no stable solutions.
Original languageEnglish
Pages (from-to)809-816
Number of pages8
JournalDiscrete and Continuous Dynamical Systems
Issue numberS
StatePublished - 2003
EventTHE FOURTH INTERNATIONAL CONFERENCE ON
DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS
- Wilmington, NC, USA, Wilmington, United States
Duration: 24 May 200227 May 2002
Conference number: 4

Keywords

  • delay differential equations
  • adaptive relay control

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