CUED Publications database

A duality principle for homogeneous vectorfields with applications

Moreau, L and Aeyels, D and Peuteman, J and Sepulchre, R (2002) A duality principle for homogeneous vectorfields with applications. Systems and Control Letters, 47. pp. 37-46. ISSN 0167-6911

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Abstract

A duality transformation principle was proposed for converting a positive order homogeneous vectorfield into a negative order homogeneous vectorfield. The principle also converted a uniformly locally asymptotically stable differential equation into a uniformly bounded differential equation. The duality transformations included the geometric framework for homogeneity and the removal of origin from the state space.

Item Type: Article
Uncontrolled Keywords: Boundedness Geometry Homogeneity Stability Time-varying differential equations
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:28
Last Modified: 08 Dec 2014 02:25
DOI: 10.1016/S0167-6911(02)00173-1