Global finite-time stability characterized through a local notion of homogeneityReport as inadecuate




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1 IPICYT - Instituto Potosino de Investigacion Cientifica y Tecnologica 2 ASER Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes Compiègne

Abstract : In this work, a notion of local homogeneity is formally defined. Important results involving homogeneous functions or vector fields are reformulated in the consequent local context. In particular, global finite-time stability is characterized through the proposed notion of local homogeneity. As an application of the developed analytical setting, a global finite-time stabilization scheme for robot manipulators with bounded inputs is presented. The developed framework and results prove to be useful to relax analytical and synthesis constraints imposed or generated by homogeneity requirements.





Author: Arturo Zavala-Río - Isabelle Fantoni -

Source: https://hal.archives-ouvertes.fr/



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