Characterization of backward reachable set and positive invariant set in polytopes

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

8 Scopus citations

Abstract

The paper studies reachability problems of autonomous affine systems in polytopes. Our goal is to find in a given polytope both the largest positive invariant set and backward reachable sets (or attraction domains) of facets. Special attention is paid to the stable invariant affine subspace. After presenting several useful properties of these sets, a partition procedure is given so that the polytope is divided into a positive invariant set and several backward reachable sets.

Original languageEnglish
Title of host publication2009 American Control Conference, ACC 2009
Pages4351-4356
Number of pages6
DOIs
StatePublished - 2009
Externally publishedYes
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: 10 Jun 200912 Jun 2009

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2009 American Control Conference, ACC 2009
Country/TerritoryUnited States
CitySt. Louis, MO
Period10/06/0912/06/09

Fingerprint

Dive into the research topics of 'Characterization of backward reachable set and positive invariant set in polytopes'. Together they form a unique fingerprint.

Cite this