Feedback stabilization via rational control Lyapunov functions

A.I. Doban, M. Lazar

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)
1 Downloads (Pure)

Abstract

We provide a procedure which generates a rational control Lyapunov function and a polynomial stabilizer for nonlinear systems described by analytic functions satisfying some regularity conditions. Furthermore, an improved estimate of the domain of attraction of the closed-loop system can be computed by means of previously introduced rational Lypunov functions. For polynomial systems, we indicate that the existence of a polynomial feedback stabilizer is guaranteed by the existence of a rational control Lyapunov function. We illustrate the proposed procedure for the stabilization of the population co-existence equilibrium of a predator-prey model describing tumor dynamics.
Original languageEnglish
Title of host publication2015 54th IEEE Conference on Decision and Control (CDC), 15-18 December 2015, Osaka, Japan
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages1148-1153
ISBN (Print)978-1-4799-7884-7
DOIs
Publication statusPublished - 2015
Event54th IEEE Conference on Decision and Control (CDC 2015) - "Osaka International Convention Center", Osaka, Japan
Duration: 15 Dec 201518 Dec 2015
Conference number: 54
http://www.cdc2015.ctrl.titech.ac.jp/

Conference

Conference54th IEEE Conference on Decision and Control (CDC 2015)
Abbreviated titleCDC 2015
Country/TerritoryJapan
CityOsaka
Period15/12/1518/12/15
Internet address

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