FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2771644654> ?p ?o ?g. }

• W2771644654 abstract "In this paper we investigate the relation between robustness of periodic orbits exhibited by systems with impulse effects and robustness of their corresponding Poincar'e maps. In particular, we prove that input-to-state stability (ISS) of a periodic orbit under external excitation in both continuous and discrete time is equivalent to ISS of the corresponding 0-input fixed point of the associated emph{forced} Poincar'e map. This result extends the classical Poincar'e analysis for asymptotic stability of periodic solutions to establish orbital input-to-state stability of such solutions under external excitation. In our proof, we define the forced Poincar'e map, and use it to construct ISS estimates for the periodic orbit in terms of ISS estimates of this map under mild assumptions on the input signals. As a consequence of the availability of these estimates, the equivalence between exponential stability (ES) of the fixed point of the 0-input (unforced) Poincar'e map and ES of the corresponding orbit is recovered. The results can naturally be applied to continuous-time systems as well. Although our motivation for extending classical Poincar'e analysis to address ISS stems from the need to design robust controllers for limit-cycle walking and running robots, the results are applicable to a much broader class of systems that exhibit periodic solutions." @default.
• W2771644654 created "2017-12-22" @default.
• W2771644654 creator A5011262312 @default.
• W2771644654 creator A5057980698 @default.
• W2771644654 creator A5088704174 @default.
• W2771644654 date "2017-12-08" @default.
• W2771644654 modified "2023-10-18" @default.
• W2771644654 title "Poincaré Analysis for Hybrid Periodic Orbits of Systems with Impulse Effects under External Inputs." @default.
• W2771644654 cites W1504362584 @default.
• W2771644654 cites W1569239057 @default.
• W2771644654 cites W1598317411 @default.
• W2771644654 cites W1833562170 @default.
• W2771644654 cites W1966241829 @default.
• W2771644654 cites W2016051837 @default.
• W2771644654 cites W2038137192 @default.
• W2771644654 cites W2043474897 @default.
• W2771644654 cites W2089876099 @default.
• W2771644654 cites W2097415784 @default.
• W2771644654 cites W2100894988 @default.
• W2771644654 cites W2121829700 @default.
• W2771644654 cites W2128131727 @default.
• W2771644654 cites W2128198426 @default.
• W2771644654 cites W2128524243 @default.
• W2771644654 cites W2134078068 @default.
• W2771644654 cites W2137547873 @default.
• W2771644654 cites W2157679697 @default.
• W2771644654 cites W2161643831 @default.
• W2771644654 cites W2171879251 @default.
• W2771644654 cites W2211810156 @default.
• W2771644654 cites W2283492721 @default.
• W2771644654 cites W2402876916 @default.
• W2771644654 cites W2516688848 @default.
• W2771644654 cites W2569210015 @default.
• W2771644654 cites W2570437550 @default.
• W2771644654 cites W2771121927 @default.
• W2771644654 cites W2771189762 @default.
• W2771644654 cites W2772604407 @default.
• W2771644654 cites W2951195857 @default.
• W2771644654 cites W3201048512 @default.
• W2771644654 cites W567663339 @default.
• W2771644654 hasPublicationYear "2017" @default.
• W2771644654 type Work @default.
• W2771644654 sameAs 2771644654 @default.
• W2771644654 citedByCount "4" @default.
• W2771644654 countsByYear W27716446542018 @default.
• W2771644654 crossrefType "posted-content" @default.
• W2771644654 hasAuthorship W2771644654A5011262312 @default.
• W2771644654 hasAuthorship W2771644654A5057980698 @default.
• W2771644654 hasAuthorship W2771644654A5088704174 @default.
• W2771644654 hasConcept C104317684 @default.
• W2771644654 hasConcept C121332964 @default.
• W2771644654 hasConcept C127413603 @default.
• W2771644654 hasConcept C134306372 @default.
• W2771644654 hasConcept C146978453 @default.
• W2771644654 hasConcept C151201525 @default.
• W2771644654 hasConcept C154945302 @default.
• W2771644654 hasConcept C158622935 @default.
• W2771644654 hasConcept C167964875 @default.
• W2771644654 hasConcept C185592680 @default.
• W2771644654 hasConcept C196644772 @default.
• W2771644654 hasConcept C21955772 @default.
• W2771644654 hasConcept C2775924081 @default.
• W2771644654 hasConcept C2781349735 @default.
• W2771644654 hasConcept C28826006 @default.
• W2771644654 hasConcept C2984157986 @default.
• W2771644654 hasConcept C33923547 @default.
• W2771644654 hasConcept C41008148 @default.
• W2771644654 hasConcept C47446073 @default.
• W2771644654 hasConcept C55493867 @default.
• W2771644654 hasConcept C61445026 @default.
• W2771644654 hasConcept C62520636 @default.
• W2771644654 hasConcept C63479239 @default.
• W2771644654 hasConcept C70836080 @default.
• W2771644654 hasConcept C74650414 @default.
• W2771644654 hasConcept C93357160 @default.
• W2771644654 hasConceptScore W2771644654C104317684 @default.
• W2771644654 hasConceptScore W2771644654C121332964 @default.
• W2771644654 hasConceptScore W2771644654C127413603 @default.
• W2771644654 hasConceptScore W2771644654C134306372 @default.
• W2771644654 hasConceptScore W2771644654C146978453 @default.
• W2771644654 hasConceptScore W2771644654C151201525 @default.
• W2771644654 hasConceptScore W2771644654C154945302 @default.
• W2771644654 hasConceptScore W2771644654C158622935 @default.
• W2771644654 hasConceptScore W2771644654C167964875 @default.
• W2771644654 hasConceptScore W2771644654C185592680 @default.
• W2771644654 hasConceptScore W2771644654C196644772 @default.
• W2771644654 hasConceptScore W2771644654C21955772 @default.
• W2771644654 hasConceptScore W2771644654C2775924081 @default.
• W2771644654 hasConceptScore W2771644654C2781349735 @default.
• W2771644654 hasConceptScore W2771644654C28826006 @default.
• W2771644654 hasConceptScore W2771644654C2984157986 @default.
• W2771644654 hasConceptScore W2771644654C33923547 @default.
• W2771644654 hasConceptScore W2771644654C41008148 @default.
• W2771644654 hasConceptScore W2771644654C47446073 @default.
• W2771644654 hasConceptScore W2771644654C55493867 @default.
• W2771644654 hasConceptScore W2771644654C61445026 @default.
• W2771644654 hasConceptScore W2771644654C62520636 @default.
• W2771644654 hasConceptScore W2771644654C63479239 @default.
• W2771644654 hasConceptScore W2771644654C70836080 @default.
• W2771644654 hasConceptScore W2771644654C74650414 @default.

• next