Browse wiki

From MurrayWiki
Jump to: navigation, search
Feedback Stabilization of Steady-State and Hopf Bifurcations
Abstract In this paper we consider nonlinear system …
In this paper we consider nonlinear systems with steady-state or Hopf bifurcations for which the bifurcated modes are linearly uncontrollable. The goal is to find state feedbacks such that the bifurcation for the closed loop system is supercritical, and at the same time, the linearly controllable subsystem is asymptotically stable. Necessary and sufficient conditions for the non-existence of sufficiently smooth state feedbacks have been obtained under certain nondegeneracy conditions. For the cases when those conditions are not satisfied, we give explicit constructions of the feedbacks. The construction has the following separation property: for any linear state feedback such that the controllable subsystem is asymptotically stable, we could construct gains in the nonlinear state feedbacks such that the closed loop system is asymptotically stable at the bifurcation point.
totically stable at the bifurcation point.  +
Authors Yong Wang and Richard Murray  +
ID 1998e  +
Source 1998 Conference on Decision and Control  +
Tag wm98a-cdc  +
Title Feedback Stabilization of Steady-State and Hopf Bifurcations +
Type Conference Paper  +
Categories Papers
Modification date
This property is a special property in this wiki.
15 May 2016 06:19:46  +
URL
This property is a special property in this wiki.
http://www.cds.caltech.edu/~murray/preprints/wm98a-cdc.pdf  +
hide properties that link here 
Feedback Stabilization of Steady-State and Hopf Bifurcations + Title
 

 

Enter the name of the page to start browsing from.