Monique Chyba, Full Professor


Publication

Books and Edited Books

(with B. Bonnard) Singular Trajectories and their Role in Control Theory Springer-Verlag, Series: Mathematics and Applications: Vol 40, 357 pgs (2003).

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

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

Special Issue – Control and Observation of Nonlinear Control Systems with Application to Medicine , (Guest-Editors: B. Bonnard, M.Chyba) Acta Applicandae Mathematicae. September 2014.


Journals, Chapters in Books, Workshops proocedings

(With B. Bonnard), Two applications of geometric optimal control to the dynamics of spin particles, The Impact of Applications on Mathematics, Proceedings of Forum "Math-for-Industry" 2013, Springer, To Appear (2014).


(With G. Patterson, G. Picot, M. Granvik, R. Jedicke, J. Vaubaillon), Time-minimal orbital transfers to temporarily-captured natural Earth satellites, PROMS Series: Advances of Optimization and Control With Applications, Springer Verlag. To appear (2014).


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

(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, pp 151- 167 (2013).

(With J. Marriott) Exceptional trajectories in the contrast problem in nuclear magnetic resonance. Cybernetics and physics Journal (CAP), Vol. 1(4), pp. 243-251 (2012).

(With B. Bonnard, J. Marriott) Singular Trajectories and the Contrast Imaging Problem in Nuclear Magnetic Resonance. SIAM J. Control Optim., 51(2), pp. 1325–1349 (2012).

(With. J. Mercier, J. Rader, Y. Kwon,R. Kodama), Dynamic Mathematical Modeling of Cell-Fractone Interactions, Journal of Math-For-Industry, Vol. 3, pp. 79-88 (2011).

(With M. Andonian, J. Rader), River Survey Using an Automous Vehicle, Special Edition of Ciencia & Tecnología de Buques/Ship Science and Technology, Vol. 4 (7), (1-74) (2011).

(With R.N. Smith, D. Cazzaro, L. Invernizzi, G. Marani, S.K. Choi), A Geometric Approach to Trajectory Design for an Autonomous Underwater Vehicle: Surveying the Bulbous Bow of a Ship, Acta Applicandae Mathematicae, Vol. 115 (2), pp. 209-232 (2011).

(With A. Sanyal, N. Nordkvist) An almost global tracking control sheme for maneuvrable autonomous vehicles and its discretization, IEEE Transactions on Automatic Control, vol. 56(2), pp. 457-462 (2011).

(With T. Haberkorn, R.N. Smith) Optimization problems for controlled mechanical systems: Bridging the gap between theory and application. Modelling, Simulation and Optimization, INTECH (ISBN 978-953-307-048-3), Edited by G. R. Rey and L. M. Muneta, Chapter 8, pp. 1-20 (2010).

(With B. Bonnard, D. Sugny) Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case.IEEE Transactions on Automatic Control, Vol. 54 (11), pp. 2598 -2610 (2009).

(With R.N. Smith, G.R. Wilkens, C. Catone) A geometrical approach to the motion planning problem for a submerged rigid body. International Journal of Control, Vol. 82/9, pp. 1641 -1656 (2009).

(With T. Haberkorn, S.B. Singh, R.N. Smith, S.K. Choi) Increasing Underwater Vehicle Autonomy by Reducing Energy Consumption. Ocean Engineering, Special Issues on Autonomous Underwater Vehicles, Vol 36/1, pp. 62-73 (2009).

(With T. Haberkorn, R.N. Smith, G.R. Wilkens) A Geometric Analysis of Trajectory Design for Underwater Vehicles. Discrete and Continuous Dynamical Systems-B, Volume: 11, Number: 2 (2009).

(With H. Hairer, G. Vilmart) The role of symplectic integrators in optimal control. Optimal Control Applications and Methods, Vol. 30/4, pp. 367-382 (2009).

(With T. Haberkorn, R.N. Smith, S.K. Choi) Autonomous Underwater Vehicles: Development and Implementation of time and Energy Efficient Trajectories. Ship Technology Research, 55/2, pp.36-48 (2008).

(With T. Haberkorn, R.N. Smith, S.K. Choi) Design and implementation of time efficient trajectories for an underwater vehicle. Ocean Engineering, 35/1, pp. 63-76 (2008).

(With T. Haberkorn) Singular Trajectories and Decoupling Vector Fields for Underwater Vehicles. Lecture Notes in Control and Information Sciences (3rd Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control). New York, Springer Verlag. (2007)

(With T. Haberkorn, R.N. Smith, G. Wilkens) Controlling a submerged rigid body: A Geometric Analysis. F. Bullo and K. Fujimoto, editors. Lagrangian and Hamiltonian Methods for Nonlinear Control 2006, Vol. 366, pp. 375-385 (2006).

(With T. Haberkorn) Optimization Techniques for Autonomous Underwater Vehicles: A Practical Point of View. The Mathematical Theory of Networks and Systems. Conference Proceedings (2006)

(With L. Baratchart and J.B. Pomet) A Grobman-Hartman Theorem for Control Systems.Journal of Dynamics and Differential Equations, Vol. 19, pp. 75-107 (2007).

(with T. Haberkorn) Autonomous Underwater Vehicles: Singular Extremals and Chattering. Systems, Control, Modeling and Optimization (Eds. F. Ceragidi, A. Dontcher, H. Ruruta, K. Mashi, L. Pandofli). Springer-Verlag, pp. 103-113 (2006)

(with N.E. Leonard and E.D. Sontag), Singular trajectories in the multi-input time-optimal problem: Application to controlled mechanical systems, 9, no. 1 (2003), 73-88, Journal on Dynamical and Control Systems.

(with L. Baratchart and J.B. Pomet), Topological versus Smooth Linearization of Control Systems. Contemporary trends in non-linear geometric control theory and its applications; A. Anzaldo-Menses, B. Bonnard, J.P. Gauthier and F. Monroy-Perez, eds., World Scientific Publishers, Singapore (2001).

(with N.E. Leonard and E.D. Sontag), Time-optimal paths for underwater vehicles, Proceedings and IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (2000).

(with B. Bonnard), Méthodes géométriques et analytiques pour étudier l'application exponentielle, la sphère et le font d'onde en géométrie SR dans le cas Martinet , ESAIM/COCV (Control, Optimisation and Calculus of Variations) (1999), 245-335.

(with B. Bonnard and E. Trélat), Sub-Riemannian geometry: one parameter deformation of the Martinet flat case, Journal on Dynamical and Control Systems 4, 1-18 (1998).

(with B. Bonnard and I. Kupka), Non Integrable Geodesics in SR-Martinet Geometry, Proceedings of the 1997 Summer Research Institute on Differential Geometry and Control, 119-134.

(with B. Bonnard), Sub-Riemannian geometry: the Martinet case, Richard Sharpe ed., Geometric Control and its Non-holonomic Problems, Can. Math. Soc. Conf. Proc. Ser. (1997), 79-100.

(with A.A. Agrachev, B. Bonnard, and I. Kupka), Sub-Riemannian sphere in Martinet flat case, ESAIM/COCV (Control, Optimisation and Calculus of Variations) (1997), 377-448.

(with B. Bonnard and H. Heutte), Contrôle Optimal Géométrique Appliqué, 141 pages, Preprint Laboratoire de Dijon (1996).





 

 

 

 

Conferences Proceedings

(With B. Bonnard, S. Glaser, J. Marriott, D. Sugny) Nuclear Magnetic Resonance: the Contrast Imaging Problem. 50th IEEE Conf. on Decision and Control, Florida (To Appear Dec. 2011).

(With M. Andonian, D. Cazzaro, L. Invernizzi, S. Grammatico)Modelling Cell-Fractone Dynamics Using Mathematical Control Theory. 50th IEEE Conf. on Decision and Control, Florida (To Appear Dec. 2011).

(With M. Andonian, S. Grammatico, A. Caiti)Using Geometric Control to Design Trajectories for an AUV to Map and Sample the submit of the Loihi Submarine Volcano. 9th International Conference on Computer Applications and Information Technology in the Maritime Industries (COMPIT), (2010). Proceedings of the Autonomous Underwater vehicle Conference, Monterey Bay (2010).

(With M. Andonian, D. Cazzaro, L. Invernizzi, S. Grammatico. Geometric Control for Autonomous Underwater Vehicles Overcoming a Thruster Failure. 49th IEEE Conf. on Decision and Control, Atlanta (2010).

(With M. Andonian, D. Cazzaro. L. Invernizzi) Trajectory design for autonomous underwater vehicle for basin exploration. 9th International Conference on Computer Applications and Information Technology in the Maritime Industries (COMPIT), (2010).

(With A. Sanyal)Robust Feedback Tracking of Autonomous Underwater Vehicles with Disturbance Rejection. Proceedings of the American Control Conference (ACC), pp. 3585-3590, St Louis (2009).

(With N. Nordkvist, A, Sanyal, S. Singh, R.N. Smith) Robust tracking control of autonomous underwater vehicles in presence of disturbance inputs, . 28th International Conference on Offshore Mechanics and Artic Engineering (OMAE), Hawaii (2009)

(With R.N. Smith) Trajectory designfor autonomous underwater vehicle for basin exploration. 8th International Conference on Computer Applications and Information Technology in the Maritime Industries (COMPIT), Budapest (2009)

(With R.N. Smith) A first extension of geometric control theory to underwater vehicles. Proceedings of Navigation Guidance & Control of Underwater Vehicles NGCUV08, 2008.

(With T. Haberkorn, R.N. Smith, S.K. Choi, G. Marani, C. Mcleod) Efficient Control of an Autonomous Underwater Vehicle while Accounting for Thruster Failure. 7th International Conference on Computer Applications and Information Technology in the Maritime Industries (COMPIT), Belgium 2008.

(With T. Haberkorn, R.N. Smith, S.K. Choi) Implementable Efficient Time and Energy Consumption Trajectories Design for an Autonomous UNderwater Vehicle. 6th International Conference on Computer Applications and Information Technology in the Maritime Industries (COMPIT), Italy (2007)

(With T. Haberkorn, R.N. Smith, S. WeatherWax, S.K. Choi) Hydrodynamic and Thruster Model Validation for Autonomous Underwater Vehicles. 26th International Conference on Offshore Mechanics and Artic Engineering (OMAE), USA (2007)

(With T. Haberkorn, R.N. Smith, S. Zhao, S.K. Choi) Towards Practical Implementation of Time Optimal Trajectories for Underwater Vehicles. 25th International Conference on Offshore Mechanics and Artic Engineering (OMAE), Germany (2006)

(With T. Haberkorn)Designing Efficient Trajectories for Underwater Vehicles Using Geometric Control Theory. 24th International Conference on Offshore Mechanics and Artic Engineering (OMAE), Greece (2005)

(With H. Maurer, H. Sussmann, G. Vossen)Underwater Vehicles: The Minimum Time Problem. 43rd IEEE Conf. on Decision and Control, Bahamas (2004).

Underwater Vehicles: a surprising non time-optimal path. 42th IEEE Conf. on Decision and Control, Maui (2003).

(With N.E. Leonard and E.D. Sontag), Optimality for underwater vehicles, 40th IEEE Conf. on Decision and Control, Orlando (2001).

(With S. Sekhavat), Nonholonomic Deformation of a Potential Field for Motion Planning, IEEE Int. Conf. Robot. Automat., Detroit (1999).

(With S. Sekhavat), Time optimal paths for a mobile robot with one trailer, IEEE Int. Conf. Intelligent Robot and Systems (1999).

(With L. Baratchart and J.B. Pomet), On the differentiability of the feedback linearization and the Hartman-Grobman theorem for control system, 38th IEEE Conf. on Decision and Control, Phoenix (1999).

Numerical Methods for Sub-Riemannian geometry, 38th IEEE Conf. on Decision and Control, Phoenix (1999).

(With A. Bellaiche and J.P. Laumond), Canonical nilpotent approximation of control systems: Application to nonholonomic motion planning, 32nd IEEE Conf. on Decision and Control, San Antonio (1993).





 

 

Papers on Vulgarisation of Mathematics

Quelle Planete choisir? Bulletin SMAI Matapli, Numero 94, pp. 65-72 (2011).

Liberons le Potentiel Mathematique. Bulletin SMAI Matapli, Numero 89, pp. 357-365 (2009).

Ecoliers et Etudiants : Synergies P´edagogiques. Bulletin SMAI Matapli, Numero 87, pp. 109-120 (2008).





 

Thesis

Le Cas Martinet en Géométrie Sous-Riemannienne, Ph.D. Thesis, University of Bourgogne (1997) (also Ph.D. thesis of the University of Geneva).

Les espaces bornologiques, Master's thesis, University of Geneva (1993).





 

 

 

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