Jul 11, 2013 · In this work, a notion of local homogeneity is formally defined. Important results involving homogeneous functions or vector fields are ...

Global finite-time stability of the origin, as an equilibrium of a dynamical system, has been characterized through homogeneity for instance in [1, Theorem 7.1] ...

In particular, global finite-time stability is characterized through the proposed notion of local homogeneity. As an application of the developed analytical ...

The developed framework and results prove to be useful to relax analytical and synthesis constraints imposed or generated by homogeneity requirements, ...

In this work, a notion of local homogeneity is formally defined. Important results involving homogeneous functions or vector fields are reformulated in the ...

Arturo Zavala-Río, Isabelle Fantoni: Global Finite-Time Stability Characterized Through a Local Notion of Homogeneity. IEEE Trans. Autom. Control.

Global Finite-Time Stability Characterized Through a Local Notion of Homogeneity. Zavala-Rio, A.; Fantoni, I. IEEE Transactions on Automatic Control 59(2): ...

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The main contribution of this work is a new simple approach to analyze FTS or FxTS of nonlinear systems, which do not admit local homogeneous approximations.

The main result is that a homogeneous system is finite-time stable if and only if it is asymptotically stable and has a negative degree of homogeneity.