A Class of Neutral-Type Delay Differential Equations That are Effectively Retarded

作者:Stoorvogel Anton A*; Roy Sandip; Wan Yan; Saberi Ali
来源:IEEE Transactions on Automatic Control, 2010, 55(2): 435-440.
DOI:10.1109/TAC.2009.2036319

摘要

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.

  • 出版日期2010-2