Journal article
A Class of Neutral-Type Delay Differential Equations That are Effectively Retarded
IEEE transactions on automatic control, Vol.55(2), pp.435-440
2010
Handle:
https://hdl.handle.net/2376/108188
Abstract
We demonstrate that some delay-differential equations of neutral type are, up to basis transformation, equivalent to retarded delay differential equations. In particular, for two classes of neutral delay differential equation models, we use state transformations to show that delayed derivatives can in some cases be expressed in terms of the model's state. Hence, we obtain conditions when neutral delay differential equations can be transformed into retarded delay differential equations.
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Details
- Title
- A Class of Neutral-Type Delay Differential Equations That are Effectively Retarded
- Creators
- Anton A STOORVOGEL - Department of Electrical Engineering, Mathematics, and Computing Science, University of Twente, Enschede 7500 AE, NetherlandsSandip ROY - School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, United StatesYan Wan - Department of Electrical Engineering, University of North Texas, Denton, TX 76203-5017, United StatesAli SABERI - School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA 99164-2752, United States
- Publication Details
- IEEE transactions on automatic control, Vol.55(2), pp.435-440
- Academic Unit
- School of Electrical Engineering and Computer Science
- Publisher
- Institute of Electrical and Electronics Engineers; New York, NY
- Identifiers
- 99900547488901842
- Language
- English
- Resource Type
- Journal article