Matches in SemOpenAlex for { <https://semopenalex.org/work/W2016532013> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2016532013 endingPage "3565" @default.
- W2016532013 startingPage "3539" @default.
- W2016532013 abstract "Lyapunov functions are an important tool to determine the basin of attraction of exponentially stable equilibria in dynamical systems. In Marinósson (2002), a method to construct Lyapunov functions was presented, using finite differences on finite elements and thus transforming the construction problem into a linear programming problem. In Hafstein (2004), it was shown that this method always succeeds in constructing a Lyapunov function, except for a small, given neighbourhood of the equilibrium.   For two-dimensional systems, this local problem was overcome by choosing a fan-like triangulation around the equilibrium. In Giesl/Hafstein (2010) the existence of a piecewise linear Lyapunov function was shown, and in Giesl/Hafstein(2012) it was shown that the above method with a fan-like triangulation always succeeds in constructing a Lyapunov function, without any local exception. However, the previous papers only considered two-dimensional systems.This paper generalises the existence of piecewise linear Lyapunov functions to arbitrary dimensions." @default.
- W2016532013 created "2016-06-24" @default.
- W2016532013 creator A5038570464 @default.
- W2016532013 creator A5045006396 @default.
- W2016532013 date "2012-05-01" @default.
- W2016532013 modified "2023-09-30" @default.
- W2016532013 title "Existence of piecewise linear Lyapunov functions in arbitrary dimensions" @default.
- W2016532013 cites W1997267116 @default.
- W2016532013 cites W2001579955 @default.
- W2016532013 cites W2017710010 @default.
- W2016532013 cites W2084657655 @default.
- W2016532013 cites W2088748973 @default.
- W2016532013 cites W2121680057 @default.
- W2016532013 cites W2138457988 @default.
- W2016532013 cites W2153943247 @default.
- W2016532013 cites W2161142397 @default.
- W2016532013 cites W2165639995 @default.
- W2016532013 cites W4245767317 @default.
- W2016532013 doi "https://doi.org/10.3934/dcds.2012.32.3539" @default.
- W2016532013 hasPublicationYear "2012" @default.
- W2016532013 type Work @default.
- W2016532013 sameAs 2016532013 @default.
- W2016532013 citedByCount "19" @default.
- W2016532013 countsByYear W20165320132013 @default.
- W2016532013 countsByYear W20165320132014 @default.
- W2016532013 countsByYear W20165320132015 @default.
- W2016532013 countsByYear W20165320132018 @default.
- W2016532013 countsByYear W20165320132019 @default.
- W2016532013 countsByYear W20165320132022 @default.
- W2016532013 crossrefType "journal-article" @default.
- W2016532013 hasAuthorship W2016532013A5038570464 @default.
- W2016532013 hasAuthorship W2016532013A5045006396 @default.
- W2016532013 hasBestOaLocation W20165320131 @default.
- W2016532013 hasConcept C101403955 @default.
- W2016532013 hasConcept C121332964 @default.
- W2016532013 hasConcept C134306372 @default.
- W2016532013 hasConcept C135981907 @default.
- W2016532013 hasConcept C158622935 @default.
- W2016532013 hasConcept C164660894 @default.
- W2016532013 hasConcept C17095337 @default.
- W2016532013 hasConcept C184175843 @default.
- W2016532013 hasConcept C201030206 @default.
- W2016532013 hasConcept C2524010 @default.
- W2016532013 hasConcept C25854792 @default.
- W2016532013 hasConcept C28826006 @default.
- W2016532013 hasConcept C33923547 @default.
- W2016532013 hasConcept C37935115 @default.
- W2016532013 hasConcept C60640748 @default.
- W2016532013 hasConcept C62520636 @default.
- W2016532013 hasConcept C79379906 @default.
- W2016532013 hasConceptScore W2016532013C101403955 @default.
- W2016532013 hasConceptScore W2016532013C121332964 @default.
- W2016532013 hasConceptScore W2016532013C134306372 @default.
- W2016532013 hasConceptScore W2016532013C135981907 @default.
- W2016532013 hasConceptScore W2016532013C158622935 @default.
- W2016532013 hasConceptScore W2016532013C164660894 @default.
- W2016532013 hasConceptScore W2016532013C17095337 @default.
- W2016532013 hasConceptScore W2016532013C184175843 @default.
- W2016532013 hasConceptScore W2016532013C201030206 @default.
- W2016532013 hasConceptScore W2016532013C2524010 @default.
- W2016532013 hasConceptScore W2016532013C25854792 @default.
- W2016532013 hasConceptScore W2016532013C28826006 @default.
- W2016532013 hasConceptScore W2016532013C33923547 @default.
- W2016532013 hasConceptScore W2016532013C37935115 @default.
- W2016532013 hasConceptScore W2016532013C60640748 @default.
- W2016532013 hasConceptScore W2016532013C62520636 @default.
- W2016532013 hasConceptScore W2016532013C79379906 @default.
- W2016532013 hasIssue "10" @default.
- W2016532013 hasLocation W20165320131 @default.
- W2016532013 hasOpenAccess W2016532013 @default.
- W2016532013 hasPrimaryLocation W20165320131 @default.
- W2016532013 hasRelatedWork W1486087961 @default.
- W2016532013 hasRelatedWork W1952733789 @default.
- W2016532013 hasRelatedWork W1977987201 @default.
- W2016532013 hasRelatedWork W1997267116 @default.
- W2016532013 hasRelatedWork W2136861748 @default.
- W2016532013 hasRelatedWork W2167866638 @default.
- W2016532013 hasRelatedWork W2766111263 @default.
- W2016532013 hasRelatedWork W2965316776 @default.
- W2016532013 hasRelatedWork W3121024268 @default.
- W2016532013 hasRelatedWork W4244989097 @default.
- W2016532013 hasVolume "32" @default.
- W2016532013 isParatext "false" @default.
- W2016532013 isRetracted "false" @default.
- W2016532013 magId "2016532013" @default.
- W2016532013 workType "article" @default.