Sensor and Network Topologies of Formations with Direction, Bearing and Angle Information between Agents

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2003, Pages 3064-3069

  Eren, Tolga ^a   Whiteley, Walter ^b   Morse, A Stephen ^a   Belhumeur, Peter N ^c   Anderson, Brian D O ^d  

^a Yale University   (United States)

^b YORK UNIVERSITY   (Canada)

^c Fu Foundation School of Engineering and Applied Science   (United States)

^d AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED DESIGN; CONSTRAINT THEORY; DATA COMMUNICATION SYSTEMS; INFORMATION THEORY; MATRIX ALGEBRA; SENSORS; STRUCTURAL DESIGN; TOPOLOGY;

MAINTENANCE LINKS; RIGIDITY THEORY;

AUTONOMOUS AGENTS;

EID: 1542348640     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. J. Baillieul and A. Suri. Information patterns and hedging Brockett's theorem in controlling vehicle formations. To appear in the Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, 2003.
2. M. Bousfield, D. Moskovitz, and W. Whiteley. Constraining plane geometric configurations in CAD: Angles. Draft preprint, York University, Toronto, Ontario, 1996.
3. J.P. Desai, J.P. Ostrowski, and V. Kumar. Modeling and control of formations of nonholonomic mobile robots. IEEE Transactions on Robotics and Automation, 17:905-908, 2001.
4. T. Eren, P.N. Belhumeur, B.D.O. Anderson, and A.S. Morse. A framework for maintaining formations based on rigidity. In Proceedings of the 15th IFAC World Congress, Barcelona, Spain, July 2002.
5. T. Eren, P.N. Belhumeur, and A.S. Morse. Closing ranks in vehicle formations based on rigidity. In Proceedings of the 41st IEEE Conference on Decision and Control, December 2002.
6. A. Frank and L. Szegö. An extension of a theorem of Henneberg and of Laman. In Proceedings of the 8th IPCO Conference, Utrecht, 2001. Springer Lecture Notes in Computer Science.
7. R. Olfati-Saber and R.M. Murray. Distributed structural stabilization and tracking for formations of dynamic multi-agents. In Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, December 2002.
8. B. Servatius and W. Whiteley. Constraining plane configurations in Computer Aided Design: Combinatorics of directions and lengths. SIAM Journal of Discrete Mathematics, 12:136-153, 1999.
9. W. Whiteley. Parallel redrawing of configurations in 3-space. Preprint, 1986.
10. W. Whiteley. A matroid on hypergraphs, with applications to scene analysis and geometry. Discrete and Computational Geometry, 4:75-95, 1988.
11. W. Whiteley. Vertex splitting in isostatic frameworks. Structural Topology, 16:23-30, 1990.
12. W. Whiteley. Matroids from discrete geometry. In James G. Oxley Joseph E. Bonin and Brigitte Servatius, editors, Matroid Theory, volume 197, pages 171-313. American Mathematical Society, Contemporary Mathematics, 1996.