# Items where Subject is "Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Algebraic and Differential Geometry (010102)"

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- Subjects classification (47668)
- Australian and New Zealand Standard Research Classification (47668)
- MATHEMATICAL SCIENCES (010000) (1547)
- PURE MATHEMATICS (010100) (123)
**Algebraic and Differential Geometry (010102)**(16)

- PURE MATHEMATICS (010100) (123)

- MATHEMATICAL SCIENCES (010000) (1547)

- Australian and New Zealand Standard Research Classification (47668)

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**16**.## Book Chapter

Chyba, Monique, Haberkorn, Thomas, & Smith, Ryan N.
(2010)
Optimization problems for controlled mechanical systems : bridging the gap between theory and application.
In

*Modelling Simulation and Optimization.*INTECH, Online, pp. 167-186.## Journal Article

Browne, Cameron B.
(2007)
Efficient Pythagorean trees: Greed is good.

*Computers & Graphics*,*31*(4), pp. 610-616.
1,052

1

1

Browne, Cameron B.
(2007)
Taiji variations: Yin and Yang in multiple dimensions.

*Computers & Graphics*,*31*(1), pp. 142-146.
883

4

2

Chyba, Monique, Haberkorn, Thomas, Smith, Ryan N., & Wilkens, George R.
(2007)
Controlling a submerged rigid body : a geometric analysis.

*Lecture Notes in Control and Information Sciences : Lagrangian and Hamiltonian Methods for Nonlinear Control 2006*,*366*, pp. 375-385.
67

Chyba, Monique, Haberkorn, Thomas, Smith, Ryan N. , & Wilkens, George R.
(2009)
A geometrical analysis of trajectory design for underwater vehicles.

*Discrete and Continuous Dynamical Systems-B*,*11*(2), pp. 233-262.
126

5

2

Dallaston, Michael C. & McCue, Scott W.
(2016)
A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area.

*Proceedings of the Royal Society A*,*472*, Article Number:-20150629.

Perry, Stephen G., Reeves, Robert W., & Sim, Jean C.
(2008)
Landscape design and the language of nature.

*Landscape Review*,*12*(2), pp. 3-18.
2,238

Smith, Ryan N., Chyba, Monique, Wilkens, George R., & Catone, Christopher J.
(2009)
A geometrical approach to the motion planning problem for a submerged rigid body.

*International Journal of Control*,*82*(9), pp. 1641-1656.
257

5

4

Smith, Ryan N. , Cazzaro, Dario, Invernizzi, Luca, Mariani, Giacomo, Choi, Song K., & Chyba, Monique
(2011)
A geometric approach to trajectory design for an autonomous underwater vehicle : surveying the bulbous bow of a ship.

*Acta Applicandae Mathematicae*,*115*(2), pp. 209-232.
288

1

Yu, Zu-Guo, Zhan, Xiao-Wen, Han, Guo-Sheng, Wang, Roger, Anh, Vo, & Chu, Ka-Hou
(2010)
Proper Distance Metrics for Phylogenetic Analysis Using Complete Genomes without Sequence Alignment.

*International Journal of Molecular Sciences*,*11*(3), pp. 1141-1154.
19

17

## Conference Paper

Chyba, Monique & Smith, Ryan N.
(2008)
A first extension of geometric control theory to underwater vehicles. In

*Proceedings of the 2008 IFAC Workshop on Navigation, Guidance and Control of Underwater Vehicles*, Elsevier, Lakeside Hotel, Killaloe, Ireland.
340

Smith, Ryan N., Chyba, Monique, & Singh, Shashi B.
(2008)
Decoupled trajectory planning for a submerged rigid body subject to dissipative and potential forces. In

*IEEE Region 10 Colloquium and Third International Conference on Industrial and Information Systems*, 8-10 December 2008, Kharagpur, India.
135

## Thesis

Smith, Ryan N.
(2008)

*Geometric Control Theory and its Application to Underwater Vehicles.*PhD thesis, University of Hawaii at Manoa.
396