A Class of Neutral-Type Delay Differential Equations That are Effectively Retarded | IEEE Journals & Magazine | IEEE Xplore

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


Abstract:

We demonstrate that some delay-differential equations of neutral type are, up to basis transformation, equivalent to retarded delay differential equations. In particular,...Show More

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.
Published in: IEEE Transactions on Automatic Control ( Volume: 55, Issue: 2, February 2010)
Page(s): 435 - 440
Date of Publication: 08 January 2010

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