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
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;
Conference_Titel :
Control & Automation (MED), 2013 21st Mediterranean Conference on
Conference_Location :
Chania
Print_ISBN :
978-1-4799-0995-7
DOI :
10.1109/MED.2013.6608774
