On the approximation of delayed systems by Taylor series expansion

Insperger, Tamás Antal (2015) On the approximation of delayed systems by Taylor series expansion. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 10 (2). 024503. ISSN 1555-1415

Preview

Text 2015_JCND.pdf Download (326kB) | Preview

Abstract

It is known that stability properties of delay-differential equations are not preserved by Taylor series expansion of the delayed term. Still, this technique is often used to approximate delayed systems by ordinary differential equations in different engineering and biological applications. In this brief, it is demonstrated through some simple second-order scalar systems that low-order Taylor series expansion of the delayed term approximates the asymptotic behavior of the original delayed system only for certain parameter regions, while for high-order expansions, the approximate system is unstable independently of the system parameters.

Actions (login required)

Edit Item