Expanding the Class of Quadratic Control-Lyapunov Functions for Low-Thrust Trajectory Optimization Article Swipe
Nicholas P. Nurre
,
Saeid Tafazzol
,
Ehsan Taheri
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2408.14412
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2408.14412
Control laws derived from Control-Lyapunov Functions (CLFs) offer an efficient way for generating near-optimal many-revolution low-thrust trajectories. A common approach to constructing CLFs is to consider the family of quadratic functions using a diagonal weighting matrix. In this paper, we explore the advantages of using a larger family of quadratic functions. More specifically, we consider positive-definite weighting matrices with non-zero off-diagonal elements (hereafter referred to as "full" matrices). We propose a novel eigendecomposition method for parameterizing $N$-dimensional weighting matrices that is easy to implement and guarantees positive-definiteness of the weighting matrices. We use particle swarm optimization, which is a stochastic optimization algorithm, to optimize the parameters and generate near-optimal minimum-time low-thrust trajectories. Solutions obtained using a full positive-definite matrix are compared to the results from the (standard) diagonal weighting matrix for a number of benchmark problems. Results demonstrate that improvements in optimality are achieved, especially for maneuvers with large changes in orbital elements.
Related Topics
Concepts
Trajectory optimization
Trajectory
Thrust
Control theory (sociology)
Lyapunov function
Quadratic equation
Class (philosophy)
Mathematics
Control (management)
Mathematical optimization
Optimal control
Computer science
Engineering
Physics
Aerospace engineering
Geometry
Nonlinear system
Artificial intelligence
Quantum mechanics
Astronomy
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2408.14412
- https://arxiv.org/pdf/2408.14412
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4402950922
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4402950922Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2408.14412Digital Object Identifier
- Title
-
Expanding the Class of Quadratic Control-Lyapunov Functions for Low-Thrust Trajectory OptimizationWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-08-26Full publication date if available
- Authors
-
Nicholas P. Nurre, Saeid Tafazzol, Ehsan TaheriList of authors in order
- Landing page
-
https://arxiv.org/abs/2408.14412Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2408.14412Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2408.14412Direct OA link when available
- Concepts
-
Trajectory optimization, Trajectory, Thrust, Control theory (sociology), Lyapunov function, Quadratic equation, Class (philosophy), Mathematics, Control (management), Mathematical optimization, Optimal control, Computer science, Engineering, Physics, Aerospace engineering, Geometry, Nonlinear system, Artificial intelligence, Quantum mechanics, AstronomyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4402950922 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2408.14412 |
| ids.doi | https://doi.org/10.48550/arxiv.2408.14412 |
| ids.openalex | https://openalex.org/W4402950922 |
| fwci | |
| type | preprint |
| title | Expanding the Class of Quadratic Control-Lyapunov Functions for Low-Thrust Trajectory Optimization |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T11082 |
| topics[0].field.id | https://openalex.org/fields/22 |
| topics[0].field.display_name | Engineering |
| topics[0].score | 0.9959999918937683 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2202 |
| topics[0].subfield.display_name | Aerospace Engineering |
| topics[0].display_name | Spacecraft Dynamics and Control |
| topics[1].id | https://openalex.org/T11701 |
| topics[1].field.id | https://openalex.org/fields/22 |
| topics[1].field.display_name | Engineering |
| topics[1].score | 0.9869999885559082 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2202 |
| topics[1].subfield.display_name | Aerospace Engineering |
| topics[1].display_name | Space Satellite Systems and Control |
| topics[2].id | https://openalex.org/T13855 |
| topics[2].field.id | https://openalex.org/fields/22 |
| topics[2].field.display_name | Engineering |
| topics[2].score | 0.9805999994277954 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2202 |
| topics[2].subfield.display_name | Aerospace Engineering |
| topics[2].display_name | Aerospace Engineering and Control Systems |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C173246807 |
| concepts[0].level | 3 |
| concepts[0].score | 0.6983441114425659 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q7833062 |
| concepts[0].display_name | Trajectory optimization |
| concepts[1].id | https://openalex.org/C13662910 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6657775640487671 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q193139 |
| concepts[1].display_name | Trajectory |
| concepts[2].id | https://openalex.org/C79420006 |
| concepts[2].level | 2 |
| concepts[2].score | 0.6627553105354309 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q533668 |
| concepts[2].display_name | Thrust |
| concepts[3].id | https://openalex.org/C47446073 |
| concepts[3].level | 3 |
| concepts[3].score | 0.6618304252624512 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q5165890 |
| concepts[3].display_name | Control theory (sociology) |
| concepts[4].id | https://openalex.org/C60640748 |
| concepts[4].level | 3 |
| concepts[4].score | 0.6226710677146912 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q2337858 |
| concepts[4].display_name | Lyapunov function |
| concepts[5].id | https://openalex.org/C129844170 |
| concepts[5].level | 2 |
| concepts[5].score | 0.6115906238555908 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q41299 |
| concepts[5].display_name | Quadratic equation |
| concepts[6].id | https://openalex.org/C2777212361 |
| concepts[6].level | 2 |
| concepts[6].score | 0.5748087763786316 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q5127848 |
| concepts[6].display_name | Class (philosophy) |
| concepts[7].id | https://openalex.org/C33923547 |
| concepts[7].level | 0 |
| concepts[7].score | 0.4564083516597748 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[7].display_name | Mathematics |
| concepts[8].id | https://openalex.org/C2775924081 |
| concepts[8].level | 2 |
| concepts[8].score | 0.43923237919807434 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q55608371 |
| concepts[8].display_name | Control (management) |
| concepts[9].id | https://openalex.org/C126255220 |
| concepts[9].level | 1 |
| concepts[9].score | 0.37842726707458496 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q141495 |
| concepts[9].display_name | Mathematical optimization |
| concepts[10].id | https://openalex.org/C91575142 |
| concepts[10].level | 2 |
| concepts[10].score | 0.35802751779556274 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q1971426 |
| concepts[10].display_name | Optimal control |
| concepts[11].id | https://openalex.org/C41008148 |
| concepts[11].level | 0 |
| concepts[11].score | 0.34285616874694824 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[11].display_name | Computer science |
| concepts[12].id | https://openalex.org/C127413603 |
| concepts[12].level | 0 |
| concepts[12].score | 0.235749751329422 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q11023 |
| concepts[12].display_name | Engineering |
| concepts[13].id | https://openalex.org/C121332964 |
| concepts[13].level | 0 |
| concepts[13].score | 0.20736628770828247 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[13].display_name | Physics |
| concepts[14].id | https://openalex.org/C146978453 |
| concepts[14].level | 1 |
| concepts[14].score | 0.08086296916007996 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q3798668 |
| concepts[14].display_name | Aerospace engineering |
| concepts[15].id | https://openalex.org/C2524010 |
| concepts[15].level | 1 |
| concepts[15].score | 0.060311973094940186 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q8087 |
| concepts[15].display_name | Geometry |
| concepts[16].id | https://openalex.org/C158622935 |
| concepts[16].level | 2 |
| concepts[16].score | 0.05861121416091919 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q660848 |
| concepts[16].display_name | Nonlinear system |
| concepts[17].id | https://openalex.org/C154945302 |
| concepts[17].level | 1 |
| concepts[17].score | 0.0 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q11660 |
| concepts[17].display_name | Artificial intelligence |
| concepts[18].id | https://openalex.org/C62520636 |
| concepts[18].level | 1 |
| concepts[18].score | 0.0 |
| concepts[18].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[18].display_name | Quantum mechanics |
| concepts[19].id | https://openalex.org/C1276947 |
| concepts[19].level | 1 |
| concepts[19].score | 0.0 |
| concepts[19].wikidata | https://www.wikidata.org/wiki/Q333 |
| concepts[19].display_name | Astronomy |
| keywords[0].id | https://openalex.org/keywords/trajectory-optimization |
| keywords[0].score | 0.6983441114425659 |
| keywords[0].display_name | Trajectory optimization |
| keywords[1].id | https://openalex.org/keywords/trajectory |
| keywords[1].score | 0.6657775640487671 |
| keywords[1].display_name | Trajectory |
| keywords[2].id | https://openalex.org/keywords/thrust |
| keywords[2].score | 0.6627553105354309 |
| keywords[2].display_name | Thrust |
| keywords[3].id | https://openalex.org/keywords/control-theory |
| keywords[3].score | 0.6618304252624512 |
| keywords[3].display_name | Control theory (sociology) |
| keywords[4].id | https://openalex.org/keywords/lyapunov-function |
| keywords[4].score | 0.6226710677146912 |
| keywords[4].display_name | Lyapunov function |
| keywords[5].id | https://openalex.org/keywords/quadratic-equation |
| keywords[5].score | 0.6115906238555908 |
| keywords[5].display_name | Quadratic equation |
| keywords[6].id | https://openalex.org/keywords/class |
| keywords[6].score | 0.5748087763786316 |
| keywords[6].display_name | Class (philosophy) |
| keywords[7].id | https://openalex.org/keywords/mathematics |
| keywords[7].score | 0.4564083516597748 |
| keywords[7].display_name | Mathematics |
| keywords[8].id | https://openalex.org/keywords/control |
| keywords[8].score | 0.43923237919807434 |
| keywords[8].display_name | Control (management) |
| keywords[9].id | https://openalex.org/keywords/mathematical-optimization |
| keywords[9].score | 0.37842726707458496 |
| keywords[9].display_name | Mathematical optimization |
| keywords[10].id | https://openalex.org/keywords/optimal-control |
| keywords[10].score | 0.35802751779556274 |
| keywords[10].display_name | Optimal control |
| keywords[11].id | https://openalex.org/keywords/computer-science |
| keywords[11].score | 0.34285616874694824 |
| keywords[11].display_name | Computer science |
| keywords[12].id | https://openalex.org/keywords/engineering |
| keywords[12].score | 0.235749751329422 |
| keywords[12].display_name | Engineering |
| keywords[13].id | https://openalex.org/keywords/physics |
| keywords[13].score | 0.20736628770828247 |
| keywords[13].display_name | Physics |
| keywords[14].id | https://openalex.org/keywords/aerospace-engineering |
| keywords[14].score | 0.08086296916007996 |
| keywords[14].display_name | Aerospace engineering |
| keywords[15].id | https://openalex.org/keywords/geometry |
| keywords[15].score | 0.060311973094940186 |
| keywords[15].display_name | Geometry |
| keywords[16].id | https://openalex.org/keywords/nonlinear-system |
| keywords[16].score | 0.05861121416091919 |
| keywords[16].display_name | Nonlinear system |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2408.14412 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2408.14412 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2408.14412 |
| locations[1].id | doi:10.48550/arxiv.2408.14412 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | cc-by |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article |
| locations[1].license_id | https://openalex.org/licenses/cc-by |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.2408.14412 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5092669567 |
| authorships[0].author.orcid | https://orcid.org/0000-0003-3151-4736 |
| authorships[0].author.display_name | Nicholas P. Nurre |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Nurre, Nicholas P. |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5107628295 |
| authorships[1].author.orcid | |
| authorships[1].author.display_name | Saeid Tafazzol |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Tafazzol, Saeid |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5014636068 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-6021-7012 |
| authorships[2].author.display_name | Ehsan Taheri |
| authorships[2].author_position | last |
| authorships[2].raw_author_name | Taheri, Ehsan |
| authorships[2].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2408.14412 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2024-09-29T00:00:00 |
| display_name | Expanding the Class of Quadratic Control-Lyapunov Functions for Low-Thrust Trajectory Optimization |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T11082 |
| primary_topic.field.id | https://openalex.org/fields/22 |
| primary_topic.field.display_name | Engineering |
| primary_topic.score | 0.9959999918937683 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2202 |
| primary_topic.subfield.display_name | Aerospace Engineering |
| primary_topic.display_name | Spacecraft Dynamics and Control |
| related_works | https://openalex.org/W4360903416, https://openalex.org/W229441251, https://openalex.org/W2173510829, https://openalex.org/W2044304292, https://openalex.org/W74278805, https://openalex.org/W2767352157, https://openalex.org/W2110008888, https://openalex.org/W4387266582, https://openalex.org/W2003479292, https://openalex.org/W3135469233 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2408.14412 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2408.14412 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2408.14412 |
| primary_location.id | pmh:oai:arXiv.org:2408.14412 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2408.14412 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2408.14412 |
| publication_date | 2024-08-26 |
| publication_year | 2024 |
| referenced_works_count | 0 |
| abstract_inverted_index.A | 17 |
| abstract_inverted_index.a | 32, 45, 70, 98, 115, 131 |
| abstract_inverted_index.In | 36 |
| abstract_inverted_index.We | 68, 91 |
| abstract_inverted_index.an | 8 |
| abstract_inverted_index.as | 65 |
| abstract_inverted_index.in | 140, 150 |
| abstract_inverted_index.is | 23, 80, 97 |
| abstract_inverted_index.of | 28, 43, 48, 87, 133 |
| abstract_inverted_index.to | 20, 24, 64, 82, 102, 121 |
| abstract_inverted_index.we | 39, 53 |
| abstract_inverted_index.and | 84, 106 |
| abstract_inverted_index.are | 119, 142 |
| abstract_inverted_index.for | 11, 74, 130, 145 |
| abstract_inverted_index.the | 26, 41, 88, 104, 122, 125 |
| abstract_inverted_index.use | 92 |
| abstract_inverted_index.way | 10 |
| abstract_inverted_index.CLFs | 22 |
| abstract_inverted_index.More | 51 |
| abstract_inverted_index.easy | 81 |
| abstract_inverted_index.from | 3, 124 |
| abstract_inverted_index.full | 116 |
| abstract_inverted_index.laws | 1 |
| abstract_inverted_index.that | 79, 138 |
| abstract_inverted_index.this | 37 |
| abstract_inverted_index.with | 58, 147 |
| abstract_inverted_index.large | 148 |
| abstract_inverted_index.novel | 71 |
| abstract_inverted_index.offer | 7 |
| abstract_inverted_index.swarm | 94 |
| abstract_inverted_index.using | 31, 44, 114 |
| abstract_inverted_index.which | 96 |
| abstract_inverted_index."full" | 66 |
| abstract_inverted_index.(CLFs) | 6 |
| abstract_inverted_index.common | 18 |
| abstract_inverted_index.family | 27, 47 |
| abstract_inverted_index.larger | 46 |
| abstract_inverted_index.matrix | 118, 129 |
| abstract_inverted_index.method | 73 |
| abstract_inverted_index.number | 132 |
| abstract_inverted_index.paper, | 38 |
| abstract_inverted_index.Control | 0 |
| abstract_inverted_index.Results | 136 |
| abstract_inverted_index.changes | 149 |
| abstract_inverted_index.derived | 2 |
| abstract_inverted_index.explore | 40 |
| abstract_inverted_index.matrix. | 35 |
| abstract_inverted_index.orbital | 151 |
| abstract_inverted_index.propose | 69 |
| abstract_inverted_index.results | 123 |
| abstract_inverted_index.approach | 19 |
| abstract_inverted_index.compared | 120 |
| abstract_inverted_index.consider | 25, 54 |
| abstract_inverted_index.diagonal | 33, 127 |
| abstract_inverted_index.elements | 61 |
| abstract_inverted_index.generate | 107 |
| abstract_inverted_index.matrices | 57, 78 |
| abstract_inverted_index.non-zero | 59 |
| abstract_inverted_index.obtained | 113 |
| abstract_inverted_index.optimize | 103 |
| abstract_inverted_index.particle | 93 |
| abstract_inverted_index.referred | 63 |
| abstract_inverted_index.Functions | 5 |
| abstract_inverted_index.Solutions | 112 |
| abstract_inverted_index.achieved, | 143 |
| abstract_inverted_index.benchmark | 134 |
| abstract_inverted_index.efficient | 9 |
| abstract_inverted_index.elements. | 152 |
| abstract_inverted_index.functions | 30 |
| abstract_inverted_index.implement | 83 |
| abstract_inverted_index.maneuvers | 146 |
| abstract_inverted_index.matrices. | 90 |
| abstract_inverted_index.problems. | 135 |
| abstract_inverted_index.quadratic | 29, 49 |
| abstract_inverted_index.weighting | 34, 56, 77, 89, 128 |
| abstract_inverted_index.(hereafter | 62 |
| abstract_inverted_index.(standard) | 126 |
| abstract_inverted_index.advantages | 42 |
| abstract_inverted_index.algorithm, | 101 |
| abstract_inverted_index.especially | 144 |
| abstract_inverted_index.functions. | 50 |
| abstract_inverted_index.generating | 12 |
| abstract_inverted_index.guarantees | 85 |
| abstract_inverted_index.low-thrust | 15, 110 |
| abstract_inverted_index.matrices). | 67 |
| abstract_inverted_index.optimality | 141 |
| abstract_inverted_index.parameters | 105 |
| abstract_inverted_index.stochastic | 99 |
| abstract_inverted_index.demonstrate | 137 |
| abstract_inverted_index.constructing | 21 |
| abstract_inverted_index.improvements | 139 |
| abstract_inverted_index.minimum-time | 109 |
| abstract_inverted_index.near-optimal | 13, 108 |
| abstract_inverted_index.off-diagonal | 60 |
| abstract_inverted_index.optimization | 100 |
| abstract_inverted_index.optimization, | 95 |
| abstract_inverted_index.specifically, | 52 |
| abstract_inverted_index.trajectories. | 16, 111 |
| abstract_inverted_index.parameterizing | 75 |
| abstract_inverted_index.$N$-dimensional | 76 |
| abstract_inverted_index.many-revolution | 14 |
| abstract_inverted_index.Control-Lyapunov | 4 |
| abstract_inverted_index.positive-definite | 55, 117 |
| abstract_inverted_index.eigendecomposition | 72 |
| abstract_inverted_index.positive-definiteness | 86 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile |