Geodesic
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 
@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/}
}
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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/