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## Section: New Results

### Output finite-time stability and stabilization

Participants : Denis Efimov, Andrey Polyakov.

The equivalent Lyapunov characterizations of output finite-time stability were presented in [51]. Another sufficient condition for output finite-time stability was presented in [52]. Based on this condition a scheme of adaptive finite-time control design was provided. The presented results were obtained with the use of homogeneity property.