Matches in SemOpenAlex for { <https://semopenalex.org/work/W10880348> ?p ?o ?g. }
- W10880348 endingPage "84" @default.
- W10880348 startingPage "59" @default.
- W10880348 abstract "In this study, we consider ill-posed time-domain inverse problems for dynamical systems with various boundary conditions and unknown controllers. Dynamical systems characterized by a system of second-order nonlinear ordinary differential equations (ODEs) are recast into a system of nonlinear first order ODEs in mixed variables. Radial Basis Functions (RBFs) are assumed as trial functions for the mixed variables in the time domain. A simple collocation method is de- veloped in the time-domain, with Legendre-Gauss-Lobatto nodes as RBF source points as well as collocation points. The duffing optimal control problem with var- ious prescribed initial and final conditions, as well as the orbital transfer Lambert's problem are solved by the proposed RBF collocation method as examples. It is shown that this method is very simple, efficient and very accurate in obtaining the solutions, with an arbitrary solution as the initial guess. Since methods such as the Shooting Method and the Pseudo-spectral Method can be unstable and require an accurate initial guess, the proposed method is advantageous and has promising ap- plications in optimal control and celestial mechanics. The extension of the present study to other optimal control problems, and other orbital transfer problems with perturbations, will be pursued in our future studies." @default.
- W10880348 created "2016-06-24" @default.
- W10880348 creator A5004478761 @default.
- W10880348 creator A5046235134 @default.
- W10880348 creator A5068824377 @default.
- W10880348 creator A5086548804 @default.
- W10880348 date "2014-07-01" @default.
- W10880348 modified "2023-10-04" @default.
- W10880348 title "Time Domain Inverse Problems in Nonlinear Systems Using Collocation & Radial Basis Functions" @default.
- W10880348 cites W1424942 @default.
- W10880348 cites W146173084 @default.
- W10880348 cites W1490180844 @default.
- W10880348 cites W1511057778 @default.
- W10880348 cites W1523217322 @default.
- W10880348 cites W1551533451 @default.
- W10880348 cites W1597405158 @default.
- W10880348 cites W1738124305 @default.
- W10880348 cites W176320170 @default.
- W10880348 cites W1991249002 @default.
- W10880348 cites W2001981441 @default.
- W10880348 cites W2007693267 @default.
- W10880348 cites W2026570525 @default.
- W10880348 cites W2028910179 @default.
- W10880348 cites W2052918873 @default.
- W10880348 cites W2060251591 @default.
- W10880348 cites W2089469367 @default.
- W10880348 cites W2107345353 @default.
- W10880348 cites W2114703748 @default.
- W10880348 cites W2137413756 @default.
- W10880348 cites W2145487433 @default.
- W10880348 cites W2153425320 @default.
- W10880348 cites W2171386585 @default.
- W10880348 cites W2798534591 @default.
- W10880348 cites W2961703895 @default.
- W10880348 doi "https://doi.org/10.3970/cmes.2014.100.059" @default.
- W10880348 hasPublicationYear "2014" @default.
- W10880348 type Work @default.
- W10880348 sameAs 10880348 @default.
- W10880348 citedByCount "3" @default.
- W10880348 countsByYear W108803482020 @default.
- W10880348 countsByYear W108803482021 @default.
- W10880348 crossrefType "journal-article" @default.
- W10880348 hasAuthorship W10880348A5004478761 @default.
- W10880348 hasAuthorship W10880348A5046235134 @default.
- W10880348 hasAuthorship W10880348A5068824377 @default.
- W10880348 hasAuthorship W10880348A5086548804 @default.
- W10880348 hasConcept C119857082 @default.
- W10880348 hasConcept C121332964 @default.
- W10880348 hasConcept C134306372 @default.
- W10880348 hasConcept C135252773 @default.
- W10880348 hasConcept C158622935 @default.
- W10880348 hasConcept C2126413 @default.
- W10880348 hasConcept C28826006 @default.
- W10880348 hasConcept C33923547 @default.
- W10880348 hasConcept C34862557 @default.
- W10880348 hasConcept C36503486 @default.
- W10880348 hasConcept C41008148 @default.
- W10880348 hasConcept C50644808 @default.
- W10880348 hasConcept C51544822 @default.
- W10880348 hasConcept C62520636 @default.
- W10880348 hasConcept C78045399 @default.
- W10880348 hasConcept C79379906 @default.
- W10880348 hasConcept C80023036 @default.
- W10880348 hasConcept C98856871 @default.
- W10880348 hasConceptScore W10880348C119857082 @default.
- W10880348 hasConceptScore W10880348C121332964 @default.
- W10880348 hasConceptScore W10880348C134306372 @default.
- W10880348 hasConceptScore W10880348C135252773 @default.
- W10880348 hasConceptScore W10880348C158622935 @default.
- W10880348 hasConceptScore W10880348C2126413 @default.
- W10880348 hasConceptScore W10880348C28826006 @default.
- W10880348 hasConceptScore W10880348C33923547 @default.
- W10880348 hasConceptScore W10880348C34862557 @default.
- W10880348 hasConceptScore W10880348C36503486 @default.
- W10880348 hasConceptScore W10880348C41008148 @default.
- W10880348 hasConceptScore W10880348C50644808 @default.
- W10880348 hasConceptScore W10880348C51544822 @default.
- W10880348 hasConceptScore W10880348C62520636 @default.
- W10880348 hasConceptScore W10880348C78045399 @default.
- W10880348 hasConceptScore W10880348C79379906 @default.
- W10880348 hasConceptScore W10880348C80023036 @default.
- W10880348 hasConceptScore W10880348C98856871 @default.
- W10880348 hasIssue "1" @default.
- W10880348 hasLocation W108803481 @default.
- W10880348 hasOpenAccess W10880348 @default.
- W10880348 hasPrimaryLocation W108803481 @default.
- W10880348 hasRelatedWork W1031073620 @default.
- W10880348 hasRelatedWork W1696699340 @default.
- W10880348 hasRelatedWork W2040351139 @default.
- W10880348 hasRelatedWork W2093302124 @default.
- W10880348 hasRelatedWork W2171701494 @default.
- W10880348 hasRelatedWork W2187565700 @default.
- W10880348 hasRelatedWork W2568663700 @default.
- W10880348 hasRelatedWork W2768330491 @default.
- W10880348 hasRelatedWork W2776704839 @default.
- W10880348 hasRelatedWork W2895988638 @default.
- W10880348 hasRelatedWork W2908477475 @default.
- W10880348 hasRelatedWork W2953652886 @default.