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Feedback Stabilization of Continuous Systems by Adding an Integrator

Outbib R., Aggoune W.

International Journal of Applied Mathematics and Computer Science

1999

Vol. 9, no 4

871-881

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.