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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

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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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
T Technology / alkalmazott, műszaki tudományok > TJ Mechanical engineering and machinery / gépészmérnöki tudományok
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 05 Oct 2015 18:57
Last Modified: 05 Oct 2015 18:57
URI: http://real.mtak.hu/id/eprint/29558

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