EXPONENTIAL DECAY OF OSCILLATIONS IN A MULTIDIMENSIONAL DELAY DIFFERENTIAL SYSTEM

Eugenii Shustin

EXPONENTIAL DECAY OF OSCILLATIONS IN A MULTIDIMENSIONAL DELAY DIFFERENTIAL SYSTEM

School of Mathematical Sciences

Research output: Contribution to journal › Conference article › peer-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 language	English
Pages (from-to)	809-816
Number of pages	8
Journal	Discrete and Continuous Dynamical Systems
Issue number	S
State	Published - 2003
Event	THE FOURTH INTERNATIONAL CONFERENCE ON DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS - Wilmington, NC, USA, Wilmington, United States Duration: 24 May 2002 → 27 May 2002 Conference number: 4

Keywords

delay differential equations
adaptive relay control

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https://www.aimsciences.org/article/doi/10.3934/proc.2003.2003.809

Cite this

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title = "EXPONENTIAL DECAY OF OSCILLATIONS IN A MULTIDIMENSIONAL DELAY DIFFERENTIAL SYSTEM",

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.",

keywords = "delay differential equations, adaptive relay control",

author = "Eugenii Shustin",

note = "This volume is the Proceedings of the AIMS' 4th International Conference on Dynamical Systems and Differential Equations, held on the campus of the University of North Carolina at Wilmington, Wilmington, NC, USA, May 24--27, 2002.; THE FOURTH INTERNATIONAL CONFERENCE ON<br/>DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS<br/> ; Conference date: 24-05-2002 Through 27-05-2002",

year = "2003",

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N2 - 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.

AB - 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.

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KW - adaptive relay control

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

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T2 - THE FOURTH INTERNATIONAL CONFERENCE ON<br/>DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS<br/>

Y2 - 24 May 2002 through 27 May 2002

ER -

EXPONENTIAL DECAY OF OSCILLATIONS IN A MULTIDIMENSIONAL DELAY DIFFERENTIAL SYSTEM

Abstract

Keywords

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