Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995487946> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W1995487946 endingPage "1281" @default.
- W1995487946 startingPage "1269" @default.
- W1995487946 abstract "This paper deals with a direct numerical technique for Fractional Optimal Control Problems (FOCPs). In this paper, we formulate the FOCPs in terms of Riemann—Liouville Fractional Derivatives (RLFDs). It is demonstrated that right RLFDs automatically arise in the formulation even when the dynamics of the system is described using left RLFDs only. For numerical computation, the FDs are approximated using the Grunwald—Letnikov definition. This leads to a set of algebraic equations that can be solved using numerical techniques. Two examples, one time-invariant and the other time-variant, are considered to demonstrate the effectiveness of the formulation. Results show that as the order of the derivative approaches an integer value, these formulations lead to solutions for integer order system. The approach requires dividing of the entire time domain into several sub-domains. Further, as the sizes of the sub-domains are reduced, the solutions converge to unique solutions. However, the convergence is slow. A scheme that improves the convergence rate will be considered in a future paper. Other issues to be considered in the future include formulations using other types of derivatives, nonlinear and stochastic fractional optimal controls, existence and uniqueness of the solutions, and the error analysis." @default.
- W1995487946 created "2016-06-24" @default.
- W1995487946 creator A5030756029 @default.
- W1995487946 creator A5033518053 @default.
- W1995487946 date "2007-09-01" @default.
- W1995487946 modified "2023-10-14" @default.
- W1995487946 title "A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems" @default.
- W1995487946 cites W1624136914 @default.
- W1995487946 cites W1645793582 @default.
- W1995487946 cites W1979976821 @default.
- W1995487946 cites W2008371123 @default.
- W1995487946 cites W2014440896 @default.
- W1995487946 cites W2025363446 @default.
- W1995487946 cites W2027210259 @default.
- W1995487946 cites W2053514438 @default.
- W1995487946 cites W2062163287 @default.
- W1995487946 cites W2073673958 @default.
- W1995487946 cites W2084795903 @default.
- W1995487946 cites W2115928917 @default.
- W1995487946 cites W2949750029 @default.
- W1995487946 cites W3104974421 @default.
- W1995487946 cites W4298361170 @default.
- W1995487946 doi "https://doi.org/10.1177/1077546307077467" @default.
- W1995487946 hasPublicationYear "2007" @default.
- W1995487946 type Work @default.
- W1995487946 sameAs 1995487946 @default.
- W1995487946 citedByCount "248" @default.
- W1995487946 countsByYear W19954879462012 @default.
- W1995487946 countsByYear W19954879462013 @default.
- W1995487946 countsByYear W19954879462014 @default.
- W1995487946 countsByYear W19954879462015 @default.
- W1995487946 countsByYear W19954879462016 @default.
- W1995487946 countsByYear W19954879462017 @default.
- W1995487946 countsByYear W19954879462018 @default.
- W1995487946 countsByYear W19954879462019 @default.
- W1995487946 countsByYear W19954879462020 @default.
- W1995487946 countsByYear W19954879462021 @default.
- W1995487946 countsByYear W19954879462022 @default.
- W1995487946 countsByYear W19954879462023 @default.
- W1995487946 crossrefType "journal-article" @default.
- W1995487946 hasAuthorship W1995487946A5030756029 @default.
- W1995487946 hasAuthorship W1995487946A5033518053 @default.
- W1995487946 hasConcept C121332964 @default.
- W1995487946 hasConcept C126255220 @default.
- W1995487946 hasConcept C127162648 @default.
- W1995487946 hasConcept C134306372 @default.
- W1995487946 hasConcept C154249771 @default.
- W1995487946 hasConcept C158622935 @default.
- W1995487946 hasConcept C199360897 @default.
- W1995487946 hasConcept C2777021972 @default.
- W1995487946 hasConcept C28826006 @default.
- W1995487946 hasConcept C31258907 @default.
- W1995487946 hasConcept C33923547 @default.
- W1995487946 hasConcept C41008148 @default.
- W1995487946 hasConcept C57869625 @default.
- W1995487946 hasConcept C62520636 @default.
- W1995487946 hasConcept C91575142 @default.
- W1995487946 hasConcept C97137487 @default.
- W1995487946 hasConceptScore W1995487946C121332964 @default.
- W1995487946 hasConceptScore W1995487946C126255220 @default.
- W1995487946 hasConceptScore W1995487946C127162648 @default.
- W1995487946 hasConceptScore W1995487946C134306372 @default.
- W1995487946 hasConceptScore W1995487946C154249771 @default.
- W1995487946 hasConceptScore W1995487946C158622935 @default.
- W1995487946 hasConceptScore W1995487946C199360897 @default.
- W1995487946 hasConceptScore W1995487946C2777021972 @default.
- W1995487946 hasConceptScore W1995487946C28826006 @default.
- W1995487946 hasConceptScore W1995487946C31258907 @default.
- W1995487946 hasConceptScore W1995487946C33923547 @default.
- W1995487946 hasConceptScore W1995487946C41008148 @default.
- W1995487946 hasConceptScore W1995487946C57869625 @default.
- W1995487946 hasConceptScore W1995487946C62520636 @default.
- W1995487946 hasConceptScore W1995487946C91575142 @default.
- W1995487946 hasConceptScore W1995487946C97137487 @default.
- W1995487946 hasIssue "9-10" @default.
- W1995487946 hasLocation W19954879461 @default.
- W1995487946 hasOpenAccess W1995487946 @default.
- W1995487946 hasPrimaryLocation W19954879461 @default.
- W1995487946 hasRelatedWork W2000657946 @default.
- W1995487946 hasRelatedWork W2098836567 @default.
- W1995487946 hasRelatedWork W2110318194 @default.
- W1995487946 hasRelatedWork W2911462630 @default.
- W1995487946 hasRelatedWork W3096893535 @default.
- W1995487946 hasRelatedWork W3113725564 @default.
- W1995487946 hasRelatedWork W3128474316 @default.
- W1995487946 hasRelatedWork W3211657818 @default.
- W1995487946 hasRelatedWork W4283314879 @default.
- W1995487946 hasRelatedWork W4317627197 @default.
- W1995487946 hasVolume "13" @default.
- W1995487946 isParatext "false" @default.
- W1995487946 isRetracted "false" @default.
- W1995487946 magId "1995487946" @default.
- W1995487946 workType "article" @default.