Monique Chyba, Full Professor


Research

Research Interests

Monique Chyba's main research area concerns the development of geometric methods to solve optimal control problems. One of her central objectives is to understand the role of singular extremals in optimal strategies for nonlinear control systems. More specifically, she has been lately focusing on using differential geometric techniques to exploit in the time optimal problem the particular structure of the Lie algebra formed by the vector fields describing a controlled mechanical system. Her research is oriented towards applications with a special emphasis on the motion planning problem for autonomous underwater vehicles.




 

Recent Publications

Books

  • Recent Advances in Celestial and Space Mechanics, (Guest Editors: B. Bonnard, M.Chyba) Mathematics for Industry, Springer-Japan. Spring 2016.

  • Control and Observation of Nonlinear Control Systems with Application to Medicine, (Guest Editors: B. Bonnard, M.Chyba) Acta Applicandae Mathematicae, Volume 135. February 2015.

  • 60th Birthday of Bernard Bonnard (Guest Editors: J-B. Caillau, M. Chyba, D. Sugny, E.Trelat) Mathematical Control and Related Fields-AIMS, Volume 3. September 2013.Autonomous Underwater vehicles

  • Ocean Engineering, Special Issue on Autonomous Underwater Vehicles, M. Chyba: Guest Editor, Vol 36/1, pp. 1-132 (2009).

Journals and Conferences Proceedings

  • (With T. Haberkorn and R. Jedicke) Minimum fuel round trip from a L2 Earth-Moon Halo orbit to Asteroid 2006RH_120, In Special Issue “Recent Advances in Celestial and Space Mechanics”, Mathematics for Industry, Springer-Verlag, Japan, To Appear (2016).

  • (With G. Patterson and G. Picot) Time-minimum control of the restricted elliptic three-body problem applied to space transfer, In Special Issue “Recent Advances in Celestial and Space Mechanics”, Mathematics for Industry, Springer-Verlag, Japan, To Appear (2016).

  • (With A. Tamura-Sato, M. Chyba, L. Chang, and T. Ernst) Optimization of Multivariate Inverse Mixing Problems with Application to Neural Metabolite Analysis, Optimization Methods, Theory and Applications, Springer, pp. 155-174 (2015).

  • (With J.-M. Coron, P. Gabriel, A. Jacquemard, G. Patterson, G. Picot and P. Shang) Optimal Geometric Control Applied to the Protein Misfolding Cyclic Amplification Process. Acta Appl. Math., Vol.135, pp. 145-173 (2015).

  • (With Bolin, B., Jedicke, R., Granvik, M., Wainscoat, R. J., Vauballion, J., Brown, P.) Detecting Earth's Temporarily Captured Natural Satellites. Icarus, Volume 241, pp. 280-297 (2014).

  • (With Bonnard, B.) Applications in medical imaging. Proceedings of FMI201, New series "Mathematics for Industry", Springer-Verlag, Japan, pp. 67-84 (2014).

  • (With G. Patterson, G. Picot, M. Granvik, R. Jedicke, J. Vaubaillon), Time-minimal orbital transfers to temporarily-captured natural Earth satellites., Optimization and Control Techniques and Applications, Springer Proceedings in Mathematics & Statistics, Vol. 86, pp. 213-235. (2014).

  • (With G. Patterson, G. Picot, M. Granvik, R. Jedicke, J. Vaubaillon), Designing Rendez-vous Missions with Mini-Moons using Geometric Optimal Control, Journal of Industrial and Management Optimization, Volume 10, Issue 2, pp. 477-501 (2014).

  • (with Granvik, M., Jedicke, R., Bolin, B.M., Patterson, G., Picot, G) Earth's Temporarily-Captured Natural Satellites - The First Step on the Ladder to Asteroid Resources. Asteroids. Prospective Energy and Material Resources, Springer-Verlag, pp. 151- 167 (2013).

  • (With B. Bonnard, J. Marriott) Feedback equivalence and the contrast problem in nuclear magnetic resonance imaging. Pacific Journal of Optimization, Volume 9 Number 4, pp. 635-650 (2013).

  • (With B. Bonnard, A. Jacquemard, J. Marriott) Algebraic geometric classification of the singular flow in the contrast imaging problem in nuclear magnetic resonance. Mathematical Control and Related Fields-AIMS, Special issue in the honor of Bernard Bonnard. Part II., Vol 3(4), pp. 397-432 (2013).

  • (With Granvik, M.,, Jedicke, R., Bolin, B., Patterson, G., Picot, G.) Earth's Temporarily-Captured Natural Satellites - The First Step on the Ladder to Asteroid Resources. Asteroids. Prospective Energy and Material Resources. Springer-Verlag, in press. To appear (2013)



 

 

 

 

Postdoctoral Students

Thomas Haberkorn (Math, now at the University of Orelans)

Gautier Picot (Math, University of Hawaii)

Graduate Students

Ryan N. Smith (ORE, PhD Summer 2008)

John Marriott (Math, PhD Fall 2013)

Michael Andonian (Math, Master Spring 2012)

John Rader (Math, Master Spring 2011, now PhD student)

Dario Cazzaro (Master student, From the University of Pisa)

Luca Invernizzi (Master student, From the University of Pisa)

Shashi Singh (Math, Master Spring 2009)

Gina Evans (Math, Master Spring 2009)


Undergraduate Students

Jiashen You (AUV's, Fall 03, Spring 04)
Trip Rems (Web Design, Spring 03)
Alina Stauffer (Orbit Transfer, Spring 04, Fall 04)
Stephen E. Fradas (AUV's, Spring 06)
Vann Bennett (Orbit Transfer, Spring 06)
Chris Haines (Mechanical systems, Spring 06 -> Spring 07)
Kristina Evans, Shaun Muneno, Sam Ho (Outreach Education, Spring 07)
Jeff Fines (AUV's + Outreach Education, Spring 07)







 

Positions to Apply

 

 

Editorial activity

  1. Ocean Engineering, Elsevier. Associate Editor.

 

 

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