Summary

International Symposium on Nonlinear Theory and its Applications

2005

Session Number:3-4-1

Session:

Number:3-4-1-1

Duality and the normalized left coprime factorization for a nonlinear system

Jacquelien M.A. Scherpen,  

pp.473-476

Publication Date:2005/10/18

Online ISSN:2188-5079

DOI:10.34385/proc.40.3-4-1-1

PDF download (67.2KB)

Summary:
This paper considers the nonlinear left coprime factorization (NLCF) of a nonlinear system. In order to study the balanced realization of such NLCF first a dual system notion is introduced. The important energy functions for the original NLCF and their relation with the dual NLCF are studied and relations between these functions are established. These developments can be used for studying a relation between the singular value functions of the NLCF and the normalized right coprime factorization (NRCF) of a nonlinear system.