The structure of nonlinear time delay systems

Luis Alejandro Márquez-Martínez; Claude H. Moog; Martín Velasco-Villa

Kybernetika (2000)

  • Volume: 36, Issue: 1, page 53-62
  • ISSN: 0023-5954

Abstract

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Multivariable nonlinear systems with time delays are considered. The delays are supposed to be constant but not commensurate. The goal of this paper is to give a structure algorithm which displays some system invariants for this class of systems.

How to cite

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Márquez-Martínez, Luis Alejandro, Moog, Claude H., and Velasco-Villa, Martín. "The structure of nonlinear time delay systems." Kybernetika 36.1 (2000): 53-62. <http://eudml.org/doc/33469>.

@article{Márquez2000,
abstract = {Multivariable nonlinear systems with time delays are considered. The delays are supposed to be constant but not commensurate. The goal of this paper is to give a structure algorithm which displays some system invariants for this class of systems.},
author = {Márquez-Martínez, Luis Alejandro, Moog, Claude H., Velasco-Villa, Martín},
journal = {Kybernetika},
keywords = {multivariable nonlinear system; time delay; multivariable nonlinear system; time delay},
language = {eng},
number = {1},
pages = {53-62},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The structure of nonlinear time delay systems},
url = {http://eudml.org/doc/33469},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Márquez-Martínez, Luis Alejandro
AU - Moog, Claude H.
AU - Velasco-Villa, Martín
TI - The structure of nonlinear time delay systems
JO - Kybernetika
PY - 2000
PB - Institute of Information Theory and Automation AS CR
VL - 36
IS - 1
SP - 53
EP - 62
AB - Multivariable nonlinear systems with time delays are considered. The delays are supposed to be constant but not commensurate. The goal of this paper is to give a structure algorithm which displays some system invariants for this class of systems.
LA - eng
KW - multivariable nonlinear system; time delay; multivariable nonlinear system; time delay
UR - http://eudml.org/doc/33469
ER -

References

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  1. Conte G., Moog C. H., Perdon A. M., Nonlinear Control Systems: An Algebraic Setting, (Lecture Notes in Control and Information Sciences 242.) Springer–Verlag, London 1999 Zbl0920.93002MR1687965
  2. Conte G., Perdon A. M., 10.1137/S0363012992235638, SIAM J. Control Optim. 33 (1995), 750–764 (1995) Zbl0831.93011MR1327237DOI10.1137/S0363012992235638
  3. Hale J., Theory of Functional Differential Equations, Springer Verlag, New York 1977 Zbl1092.34500MR0508721
  4. Iwai Z., Seborg D. E., Fisher D. G., Kobayashi N., 10.1080/00207177808922503, Internat. J. Control 28 (1978), 869–888 (1978) MR0528369DOI10.1080/00207177808922503
  5. Malabre M., Rabah R., Structure at infinity, model matching, and disturbance rejection for linear systems with delays, Kybernetika 29 (1993), 485–498 (1993) Zbl0805.93008MR1264881
  6. Márquez–Martínez L. A., Moog C. H., Velasco–Villa M., The structure of nonlinear time–delay systems, In: 6th IEEE MCCS. Sardinia 1998 
  7. Moog C. H., Castro–Linares R., Velasco–Villa M., Márquez–Martínez L. A., The disturbance decoupling problem for time–delay systems, IEEE Trans. Automat. Control. To appear 
  8. Singh S. N., 10.1109/TAC.1981.1102657, IEEE Trans. Automat. Control 14 (1981), 595–598 (1981) Zbl0488.93026MR0613595DOI10.1109/TAC.1981.1102657
  9. Tzafestas S. G., Paraskevopoulos P. N., 10.1080/00207177308932387, Internat. J. Control 17 (1973), 2, 405–415 (1973) MR0314498DOI10.1080/00207177308932387
  10. Velasco–Villa M., Moog C. H., Disturbance decoupling problem for time–delay nonlinear systems: dynamic approach, In: IFAC Conference on Control and Systems’s Structure. Nantes 1998 

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