Matches in SemOpenAlex for { <https://semopenalex.org/work/W1977868769> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W1977868769 endingPage "1142" @default.
- W1977868769 startingPage "1133" @default.
- W1977868769 abstract "A method of optimal control problem solutions based on a new concept of pseudocontrol sets is presented. This approach combines large-scale linear programming algorithms with the well-known discretization of the continuous system dynamics on small segments and uses discrete pseudocontrol sets, which are considered independently for each segment. Every set is expressed as a mesh approximation of an admissible control space. The method is associated with significant increases in the number of decision variables and requires introducing artificial variables or pseudovariables. Terminal conditions are presented as a linear matrix equation. An extension of the matrix equation for the sums of the pseudocontrols is used to transform the problem into a linear programming form. Interior-point inequality constraints are represented as a linear matrix inequality. The resulting linear programming form is characterized by matrices that are very large and sparse. The number of decision variables is on the order of tens of thousands. In modern linear programming, there are effective interior-point algorithms to solve such problems. A minimum path-planning problem with nonlinear constraints, reentry trajectory optimization with maximum cross range, and maximum-radius orbit transfer are considered as application examples. The results of the last example are almost coincident with known solutions using other methods." @default.
- W1977868769 created "2016-06-24" @default.
- W1977868769 creator A5037801720 @default.
- W1977868769 date "2010-07-01" @default.
- W1977868769 modified "2023-09-23" @default.
- W1977868769 title "Discrete Pseudocontrol Sets for Optimal Control Problems" @default.
- W1977868769 cites W1990225020 @default.
- W1977868769 cites W1992522320 @default.
- W1977868769 cites W2006455928 @default.
- W1977868769 cites W2009262551 @default.
- W1977868769 cites W2013760850 @default.
- W1977868769 cites W2030723843 @default.
- W1977868769 cites W2038057133 @default.
- W1977868769 cites W2042719575 @default.
- W1977868769 cites W2087489384 @default.
- W1977868769 cites W2088920186 @default.
- W1977868769 cites W2114398489 @default.
- W1977868769 cites W2135496390 @default.
- W1977868769 cites W2162218551 @default.
- W1977868769 cites W2498504667 @default.
- W1977868769 cites W2611147814 @default.
- W1977868769 cites W4301216918 @default.
- W1977868769 cites W2070118956 @default.
- W1977868769 doi "https://doi.org/10.2514/1.47315" @default.
- W1977868769 hasPublicationYear "2010" @default.
- W1977868769 type Work @default.
- W1977868769 sameAs 1977868769 @default.
- W1977868769 citedByCount "7" @default.
- W1977868769 countsByYear W19778687692012 @default.
- W1977868769 countsByYear W19778687692013 @default.
- W1977868769 countsByYear W19778687692014 @default.
- W1977868769 countsByYear W19778687692015 @default.
- W1977868769 countsByYear W19778687692018 @default.
- W1977868769 crossrefType "journal-article" @default.
- W1977868769 hasAuthorship W1977868769A5037801720 @default.
- W1977868769 hasConcept C126255220 @default.
- W1977868769 hasConcept C154945302 @default.
- W1977868769 hasConcept C2775924081 @default.
- W1977868769 hasConcept C33923547 @default.
- W1977868769 hasConcept C41008148 @default.
- W1977868769 hasConcept C47446073 @default.
- W1977868769 hasConcept C91575142 @default.
- W1977868769 hasConceptScore W1977868769C126255220 @default.
- W1977868769 hasConceptScore W1977868769C154945302 @default.
- W1977868769 hasConceptScore W1977868769C2775924081 @default.
- W1977868769 hasConceptScore W1977868769C33923547 @default.
- W1977868769 hasConceptScore W1977868769C41008148 @default.
- W1977868769 hasConceptScore W1977868769C47446073 @default.
- W1977868769 hasConceptScore W1977868769C91575142 @default.
- W1977868769 hasIssue "4" @default.
- W1977868769 hasLocation W19778687691 @default.
- W1977868769 hasOpenAccess W1977868769 @default.
- W1977868769 hasPrimaryLocation W19778687691 @default.
- W1977868769 hasRelatedWork W2003744486 @default.
- W1977868769 hasRelatedWork W2056347680 @default.
- W1977868769 hasRelatedWork W2058275692 @default.
- W1977868769 hasRelatedWork W2086351220 @default.
- W1977868769 hasRelatedWork W2128707062 @default.
- W1977868769 hasRelatedWork W2344465999 @default.
- W1977868769 hasRelatedWork W2379669963 @default.
- W1977868769 hasRelatedWork W2963867492 @default.
- W1977868769 hasRelatedWork W3158610175 @default.
- W1977868769 hasRelatedWork W3213146639 @default.
- W1977868769 hasVolume "33" @default.
- W1977868769 isParatext "false" @default.
- W1977868769 isRetracted "false" @default.
- W1977868769 magId "1977868769" @default.
- W1977868769 workType "article" @default.