Nonlinear stabilization by adding integrators

Abderrahman Iggidr; Gauthier Sallet

Kybernetika (1994)

  • Volume: 30, Issue: 5, page 499-506
  • ISSN: 0023-5954

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Iggidr, Abderrahman, and Sallet, Gauthier. "Nonlinear stabilization by adding integrators." Kybernetika 30.5 (1994): 499-506. <http://eudml.org/doc/28293>.

@article{Iggidr1994,
author = {Iggidr, Abderrahman, Sallet, Gauthier},
journal = {Kybernetika},
keywords = {global stabilization; nonlinear; Lyapunov function},
language = {eng},
number = {5},
pages = {499-506},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Nonlinear stabilization by adding integrators},
url = {http://eudml.org/doc/28293},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Iggidr, Abderrahman
AU - Sallet, Gauthier
TI - Nonlinear stabilization by adding integrators
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 5
SP - 499
EP - 506
LA - eng
KW - global stabilization; nonlinear; Lyapunov function
UR - http://eudml.org/doc/28293
ER -

References

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  1. J. M. Coron, L. Praly, Adding an integrator for the stabilization problem, Systems Control Lett. 17 (1991), 89-104. (1991) Zbl0747.93072MR1120754
  2. W. P. Dayawansa C. F. Martin, G. Knowles, Asymptotic stabilization of a class of smooth two-dimensional systems, SIAM J. Control Optim. 28 (1990), 1321-1349. (1990) MR1075206
  3. P. V. Kokotovic, H. J. Sussmann, A positive real condition for global stabilization of nonlinear systems, Systems Control Lett. 13 (1989), 125-133. (1989) Zbl0684.93066MR1014238
  4. J. LaSalle, S. Lefschetz, Stability by Liapunov's direct method with applications, Academic Press, New York 1961. (1961) MR0132876
  5. R. Outbib, G. Sallet, Stabilizability of the angular velocity of a rigid body revisited, Systems Control Lett. 18 (1992), 93-98. (1992) Zbl0743.93082MR1149353
  6. A. Saberi P. V. Kokotovic, H. J. Sussmann, Global stabilization of partially linear composed systems, SIAM J. Control Optim. 28 (1990), 1491-1503. (1990) MR1075215
  7. E. Sontag, H. J. Sussmann, Further comments on the stabilizability of the angular velocity of the rigid body, Systems Control Lett. 12 (1988), 213-217. (1988) MR0993944

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