DocumentCode
3171929
Title
Immersion of nonlinear systems through Power Geometry
Author
Menini, Laura ; Tornambe, Antonio
Author_Institution
Dipt. di Ing. Civile ed Ing. Inf., Univ. di Roma Tor Vergata, Rome, Italy
fYear
2013
fDate
25-28 June 2013
Firstpage
537
Lastpage
544
Abstract
This paper surveys results of Power Geometry, which allow to rewrite in different forms some continuous-time nonlinear systems, those that that can expressed by means of elementary functions (e.g., polynomial, exponential, sinusoidal, logarithmic). In particular, by using coordinate transformations or state immersions, possibly in power form, it is possible to rewrite such nonlinear systems in quasi-polynomial form and in the Lotka-Volterra form.
Keywords
Volterra equations; continuous time systems; geometry; nonlinear control systems; polynomials; Lotka-Volterra form; continuous-time nonlinear systems; coordinate transformations; exponential function; logarithmic function; polynomial function; power geometry; quasipolynomial form; sinusoidal function; state immersions; Erbium; Geometry; Nonlinear systems; Polynomials; Trajectory; Transforms; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Control & Automation (MED), 2013 21st Mediterranean Conference on
Conference_Location
Chania
Print_ISBN
978-1-4799-0995-7
Type
conf
DOI
10.1109/MED.2013.6608774
Filename
6608774
Link To Document