FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4366571819> ?p ?o ?g. }

• W4366571819 endingPage "43" @default.
• W4366571819 startingPage "19" @default.
• W4366571819 abstract "Optimal control theory allows finding the optimal input of a mechanical system modelled as an initial value problem. The resulting minimisation problem may be solved with known direct and indirect methods. We propose time discretisations for both methods, direct midpoint (DMP) and indirect midpoint (IMP) algorithms, which despite their similarities, result in different convergence orders for the adjoint (or co-state) variables. We additionally propose a third time-integration scheme, Indirect Hamiltonian-preserving (IHP) algorithm, which preserves the control Hamiltonian, an integral of the analytical Euler–Lagrange equations of the optimal control problem. We test the resulting algorithms to linear and nonlinear problems with and without dissipative forces: a propelled falling mass subjected to gravity and a drag force, an elastic inverted pendulum, and the locomotion of a worm-like organism on a frictional substrate. To improve the convergence of the solution process of the discretised equations in nonlinear problems, we also propose a computational simple suboptimal initial guess and apply a forward–backward sweep method, which computes each set of variables (state, adjoint and control) in a staggered manner. We demonstrate in our examples their practical advantage for computing optimal solutions." @default.
• W4366571819 created "2023-04-22" @default.
• W4366571819 creator A5004232707 @default.
• W4366571819 creator A5041464313 @default.
• W4366571819 date "2023-04-13" @default.
• W4366571819 modified "2023-10-15" @default.
• W4366571819 title "A control Hamiltonian-preserving discretisation for optimal control" @default.
• W4366571819 cites W1506342804 @default.
• W4366571819 cites W1848513657 @default.
• W4366571819 cites W1969824994 @default.
• W4366571819 cites W1970259726 @default.
• W4366571819 cites W1997251742 @default.
• W4366571819 cites W2010650124 @default.
• W4366571819 cites W2012231377 @default.
• W4366571819 cites W2042231015 @default.
• W4366571819 cites W2042569149 @default.
• W4366571819 cites W2051482558 @default.
• W4366571819 cites W2056370235 @default.
• W4366571819 cites W2063917507 @default.
• W4366571819 cites W2066512901 @default.
• W4366571819 cites W2070245710 @default.
• W4366571819 cites W2086096943 @default.
• W4366571819 cites W2108684673 @default.
• W4366571819 cites W2123224804 @default.
• W4366571819 cites W2128285126 @default.
• W4366571819 cites W2132213368 @default.
• W4366571819 cites W2141870784 @default.
• W4366571819 cites W2142254043 @default.
• W4366571819 cites W2150389271 @default.
• W4366571819 cites W2171883843 @default.
• W4366571819 cites W2189770789 @default.
• W4366571819 cites W2217100595 @default.
• W4366571819 cites W2221321873 @default.
• W4366571819 cites W2540254549 @default.
• W4366571819 cites W2556823029 @default.
• W4366571819 cites W2579396970 @default.
• W4366571819 cites W2906372436 @default.
• W4366571819 cites W3025789774 @default.
• W4366571819 cites W3191398452 @default.
• W4366571819 cites W3196267340 @default.
• W4366571819 cites W3214984949 @default.
• W4366571819 cites W4200235105 @default.
• W4366571819 doi "https://doi.org/10.1007/s11044-023-09902-y" @default.
• W4366571819 hasPublicationYear "2023" @default.
• W4366571819 type Work @default.
• W4366571819 citedByCount "0" @default.
• W4366571819 crossrefType "journal-article" @default.
• W4366571819 hasAuthorship W4366571819A5004232707 @default.
• W4366571819 hasAuthorship W4366571819A5041464313 @default.
• W4366571819 hasBestOaLocation W43665718192 @default.
• W4366571819 hasConcept C121332964 @default.
• W4366571819 hasConcept C126255220 @default.
• W4366571819 hasConcept C130787639 @default.
• W4366571819 hasConcept C134306372 @default.
• W4366571819 hasConcept C154945302 @default.
• W4366571819 hasConcept C158622935 @default.
• W4366571819 hasConcept C2775924081 @default.
• W4366571819 hasConcept C28826006 @default.
• W4366571819 hasConcept C33923547 @default.
• W4366571819 hasConcept C41008148 @default.
• W4366571819 hasConcept C47446073 @default.
• W4366571819 hasConcept C62520636 @default.
• W4366571819 hasConcept C73000952 @default.
• W4366571819 hasConcept C91575142 @default.
• W4366571819 hasConcept C99692599 @default.
• W4366571819 hasConceptScore W4366571819C121332964 @default.
• W4366571819 hasConceptScore W4366571819C126255220 @default.
• W4366571819 hasConceptScore W4366571819C130787639 @default.
• W4366571819 hasConceptScore W4366571819C134306372 @default.
• W4366571819 hasConceptScore W4366571819C154945302 @default.
• W4366571819 hasConceptScore W4366571819C158622935 @default.
• W4366571819 hasConceptScore W4366571819C2775924081 @default.
• W4366571819 hasConceptScore W4366571819C28826006 @default.
• W4366571819 hasConceptScore W4366571819C33923547 @default.
• W4366571819 hasConceptScore W4366571819C41008148 @default.
• W4366571819 hasConceptScore W4366571819C47446073 @default.
• W4366571819 hasConceptScore W4366571819C62520636 @default.
• W4366571819 hasConceptScore W4366571819C73000952 @default.
• W4366571819 hasConceptScore W4366571819C91575142 @default.
• W4366571819 hasConceptScore W4366571819C99692599 @default.
• W4366571819 hasFunder F4320315062 @default.
• W4366571819 hasIssue "1" @default.
• W4366571819 hasLocation W43665718191 @default.
• W4366571819 hasLocation W43665718192 @default.
• W4366571819 hasOpenAccess W4366571819 @default.
• W4366571819 hasPrimaryLocation W43665718191 @default.
• W4366571819 hasRelatedWork W1835795204 @default.
• W4366571819 hasRelatedWork W1979855429 @default.
• W4366571819 hasRelatedWork W1992244398 @default.
• W4366571819 hasRelatedWork W2012186120 @default.
• W4366571819 hasRelatedWork W2064523977 @default.
• W4366571819 hasRelatedWork W2065277481 @default.
• W4366571819 hasRelatedWork W2066091055 @default.
• W4366571819 hasRelatedWork W2088468004 @default.
• W4366571819 hasRelatedWork W3127558133 @default.
• W4366571819 hasRelatedWork W4283332940 @default.
• W4366571819 hasVolume "59" @default.
• W4366571819 isParatext "false" @default.

• next