Geodesic
On the regulator problem for a class of LTI systems with delays
Kybernetika, Tome 39 (2003) no. 4, p. [415]

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This paper deals with the problem of tracking a reference signal while maintaining the stability of the closed loop system for linear time invariant systems with delays in the states. We show that conditions for the existence of a solution to this problem (the so-called regulation problem), similar to those known for the case of delay-free linear systems, may be given. We propose a solution for both the state and error feedback regulation.
Classification : 93B52, 93C05, 93C23
Keywords: linear systems; regulator theory; delay systems 
@article{KYB_2003__39_4_a1,
     author = {Castillo-Toledo, Bernardino and N\'u\~nez-P\'erez, Eduardo},
     title = {On the regulator problem for a class of {LTI} systems with delays},
     journal = {Kybernetika},
     pages = {[415]},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {2003},
     mrnumber = {2024523},
     zbl = {1249.93087},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2003__39_4_a1/}
}
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Castillo-Toledo, Bernardino; Núñez-Pérez, Eduardo. On the regulator problem for a class of LTI systems with delays. Kybernetika, Tome 39 (2003) no. 4, p. [415]. http://geodesic.mathdoc.fr/item/KYB_2003__39_4_a1/