Feedback Stabilization of Continuous Systems by Adding an Integrator
International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 4, pp. 871-881
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This note is devoted to the problem of global stabilization of continuous systems by adding an integrator. The goal is to prove that if a continuous non-linear system dot x =f(x,u) is globally asymptotically stable at the origin for u equiv 0, then the augmented system obtained by adding an integrator is stabilizable by means of a continuous feedback.
Keywords:
feedback stabilization, nonlinear systems, continuous systems, Lyapunov function
Outbib, R.; Aggoune, W. Feedback Stabilization of Continuous Systems by Adding an Integrator. International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 4, pp. 871-881. http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_4_a7/
@article{IJAMCS_1999_9_4_a7,
author = {Outbib, R. and Aggoune, W.},
title = {Feedback {Stabilization} of {Continuous} {Systems} by {Adding} an {Integrator}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {871--881},
year = {1999},
volume = {9},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_4_a7/}
}
TY - JOUR AU - Outbib, R. AU - Aggoune, W. TI - Feedback Stabilization of Continuous Systems by Adding an Integrator JO - International Journal of Applied Mathematics and Computer Science PY - 1999 SP - 871 EP - 881 VL - 9 IS - 4 UR - http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_4_a7/ LA - en ID - IJAMCS_1999_9_4_a7 ER -
%0 Journal Article %A Outbib, R. %A Aggoune, W. %T Feedback Stabilization of Continuous Systems by Adding an Integrator %J International Journal of Applied Mathematics and Computer Science %D 1999 %P 871-881 %V 9 %N 4 %U http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_4_a7/ %G en %F IJAMCS_1999_9_4_a7