A duality principle for homogeneous vector fields with applications

• AUTHORS: L. Moreau, D. Aeyels, J. Peuteman, R. Sepulchre
• ABSTRACT: We introduce a duality principle for homogeneous vector fields. As an application of this duality principle, stability and boundedness results for negative order homogeneous differential equations are obtained, starting from known results for positive order homogeneous differential equations .
• KEYWORDS: stability, time-varying, homogeneity, geometry, boundedness.
• STATUS: To appear in Systems and Control Letters.

• Paper: PS file.