A state-space temporal finite element approach for stability investigations of delay equations

This paper describes a new approach to examine the stability of delay differential equations that builds upon prior work using temporal finite element analysis. In contrast to previous analyses, which could only be applied to second order delay differential equations, the present manuscript develops an approach which can be applied to a broader class of systems - systems that may be written in the form of a state space model. A primary outcome from this work is a generalized framework to investigate the asymptotic stability of autonomous delay differential equations with a single time delay. Furthermore, this approach is shown to be applicable to time-periodic delay differential equations and equations that are piecewise continuous. Copyright © 2009 by ASME.

Full Text

Duke Authors

Cited Authors

  • Khasawneh, FA; Mann, BP; Patel, B

Published Date

  • 2009

Published In

  • Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009

Volume / Issue

  • 1 /

Start / End Page

  • 415 - 423

Digital Object Identifier (DOI)

  • 10.1115/SMASIS2009-1263