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The regulator equations for retarded delay differential equations

Authors: Christopher I. Byrnes; David S. Gilliam; Victor I. Shubov;

The regulator equations for retarded delay differential equations

Abstract

In this work we present a simple formula for the solution of problems of output regulation (tracking and disturbance rejection) for systems governed by linear retarded functional differential equations. Our formulas are based on an analysis of the so-called regulator equations. In the geometric theory of output regulation the desired feedback gain is obtained from solution of these equations. For delay equations we show that the regulator equations reduce to a pair of finite dimensional linear systems of equations. For special exosystems we give an explicit formula for the solution.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
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