Locally Diverse Constellations From the Special Orthogonal Group

IEEE Transactions on Wireless Communications ◽

10.1109/twc.2016.2541668 ◽

2016 ◽

Vol 15 (6) ◽

pp. 4426-4437 ◽

Author(s):

David A. Karpuk ◽

Camilla Hollanti

Keyword(s):

Orthogonal Group ◽

Special Orthogonal Group

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An Intrinsic Aggregation Model on the Special Orthogonal Group SO(3): Well-posedness and Collective Behaviours

Journal of Nonlinear Science ◽

10.1007/s00332-021-09732-2 ◽

2021 ◽

Vol 31 (5) ◽

Author(s):

Razvan C. Fetecau ◽

Seung-Yeal Ha ◽

Hansol Park

Keyword(s):

Orthogonal Group ◽

Well Posedness ◽

Aggregation Model ◽

Special Orthogonal Group

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Isometries of the special orthogonal group

Linear Algebra and its Applications ◽

10.1016/j.laa.2013.03.008 ◽

2013 ◽

Vol 439 (1) ◽

pp. 174-188 ◽

Author(s):

Toshikazu Abe ◽

Shigeki Akiyama ◽

Osamu Hatori

Keyword(s):

Orthogonal Group ◽

Special Orthogonal Group

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On subgroups of the special linear group containing the special orthogonal group

Journal of Algebra ◽

10.1016/0021-8693(85)90045-6 ◽

1985 ◽

Vol 96 (1) ◽

pp. 178-193 ◽

Author(s):

Oliver King

Keyword(s):

Linear Group ◽

Orthogonal Group ◽

Special Linear Group ◽

Special Linear ◽

Special Orthogonal Group

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Robust Adaptive Attitude Synchronization of Uncertain Rigid Bodies on Special Orthogonal Group with Communication Delays and Gyro Biases

International Journal of Control Automation and Systems ◽

10.1007/s12555-018-0623-7 ◽

2019 ◽

Vol 17 (11) ◽

pp. 2769-2783

Author(s):

Xuhui Lu ◽

Yingmin Jia

Keyword(s):

Orthogonal Group ◽

Rigid Bodies ◽

Communication Delays ◽

Special Orthogonal Group ◽

Robust Adaptive ◽

Attitude Synchronization

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A basic relation between invariants of matrices under the action of the special orthogonal group

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/bf02874669 ◽

2006 ◽

Vol 55 (1) ◽

pp. 82-94 ◽

Author(s):

Enrico Rogora

Keyword(s):

Orthogonal Group ◽

Basic Relation ◽

Special Orthogonal Group

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A second order minimum-energy filter on the special orthogonal group

2012 American Control Conference (ACC) ◽

10.1109/acc.2012.6315025 ◽

2012 ◽

Author(s):

M. Zamani ◽

J. Trumpf ◽

R. Mahony

Keyword(s):

Orthogonal Group ◽

Minimum Energy ◽

Second Order ◽

Special Orthogonal Group

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Vector-Based Adaptive Attitude Observer and Controller on Special Orthogonal Group

Asian Journal of Control ◽

10.1002/asjc.1401 ◽

2016 ◽

Vol 19 (2) ◽

pp. 748-764 ◽

Author(s):

Xuhui Lu ◽

Yingmin Jia ◽

Fumitoshi Matsuno

Keyword(s):

Orthogonal Group ◽

Special Orthogonal Group

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Finite-Element Formulation with Special Orthogonal Group SO(3). (1st. Relationships between Stress Rates and Tangent Stiffnesses).

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.62.1696 ◽

1996 ◽

Vol 62 (599) ◽

pp. 1696-1701

Author(s):

Masabumi ISHIHARA

Keyword(s):

Finite Element ◽

Orthogonal Group ◽

Finite Element Formulation ◽

Element Formulation ◽

Special Orthogonal Group

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Optimal attitude control of a rigid body on special orthogonal group using LGVI and FD-GMRES

2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR) ◽

10.1109/mmar.2015.7283853 ◽

2015 ◽

Author(s):

Xiaoting Ji ◽

Jie Li ◽

Yifeng Niu

Keyword(s):

Attitude Control ◽

Orthogonal Group ◽

Special Orthogonal Group

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On certain generalized isometries of the special orthogonal group

Archiv der Mathematik ◽

10.1007/s00013-017-1122-4 ◽

2017 ◽

Vol 110 (1) ◽

pp. 61-70

Author(s):

Marcell Gaál

Keyword(s):

Orthogonal Group ◽

Special Orthogonal Group

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