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2003, 2003(Special): 809-816. doi: 10.3934/proc.2003.2003.809

Exponential decay of oscillations in a multidimensional delay differential system

Eugenii Shustin 1,

1. 

School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv

Received  August 2002 Revised  April 2003 Published  April 2003

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.
Keywords: delay differential equations, adaptive relay control..
Mathematics Subject Classification: 34K11, 34K13, 34K3.
Citation: Eugenii Shustin. Exponential decay of oscillations in a multidimensional delay differential system. Conference Publications, 2003, 2003 (Special) : 809-816. doi: 10.3934/proc.2003.2003.809
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