Some Recent Research Papers

Solution of a Sub-Riemannian Optimal Control Problem for a Quantum Spin System, with C. Moseley and A. M. Bloch, to appear in Communications in Information and Systems, special issue dedicated to Roger Brockett, 2008.

Optimal Control and Geodesics on Quadratic Matrix Lie Groups, with A. M. Bloch, P. E. Crouch, and J. E. Marsden, to appear in Foundations of Computational Mathematics, 2008.

Global Optimal Attitude Estimation using Uncertainty Ellipsoids, with T. Lee, M. Leok, and N. H. McClamroch, Systems and Control Letters, vol 57, pp. 236-245, 2008.

Geometric Structure-Preserving Optimal Control of the Rigid Body, with A. Bloch, I. Hussein, and M. Leok, submitted to Journal of Dynamical and Control Systems, 2007.

Adaptive Tracking of Angular Velocity for a Planar Rigid Body with Unknown Inertia and Input Nonlinearity, with N. A. Chaturvedi, M. Chellappa, Jean Luc Valk, N. H. McClamroch and D. S. Bernstein, IEEE Trans. on Control Systems Tech, vol 14(4), pp. 613-627, 2006.

Optimal Attitude Estimation and Filtering without using Local Coordinates, Part 1, 2006 American Control Conference, Minneapolis, MN, pp. 5734-5739, 2006.

A Variational Problem on Stiefel Manifolds, with A. M. Bloch, and P. E. Crouch, Nonlinearity, vol 19, pp. 2247-2276, 2006.

Control of Mechanical Systems with Cyclic Coordinates using Higher Order Averaging, with A. M. Bloch and N. H. McClamroch, Proc. of the 44th IEEE Conference on Decision and Control, Seville, Spain, 6835-6840, 2005.

Two Connected Bodies in a Central Gravitational Field, with A. M. Bloch, Proc. of the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, 3968-3973, 2004.

Dynamics and Control of a 3D Pendulum, with J. Shen, N. A. Chaturvedi, D. S. Bernstein, and N. H. McClamroch, Proc. of the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, 323-328, 2004.

Stability and Stabilization of Relative Equilibria of a Dumbbell Body in Central Gravity, with J. Shen, N. H. McClamroch, and A. M. Bloch, AIAA Journal of Guidance, Control, and Dynamics, vol 28(5), 833-842, 2005.

Dynamics of multibody systems in planar motion in a central gravitational field, with A. M. Bloch, and N. H. McClamroch, Dynamical Systems, formerly Dynamics and Stability of Systems, vol. 19(4), 303-343, 2004.

Control of a Dumbbell Spacecraft using Attitude and Shape Control Inputs only, with J. Shen, and N. H. McClamroch, Proceedings of the 2004 American Control Conference, Boston, Mass., 1014-1018, 2004.

Dynamics and Control of an Elastic Dumbbell Spacecraft in a Central Gravitational Field, with J. Shen, and N. H. McClamroch, Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, 2798-2803, 2003.

Asymptotic Stability of Rigid Body Attitude Systems, with J. Shen and N. H. McClamroch, Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, 544-549, 2003.

Asymptotic Stability of Multibody Attitude Systems, with J. Shen and N. H. McClamroch, in Stability and Control of Dynamical Systems with Applications, D. Liu and P. J. Antsaklis, eds., Birkhauser, Boston, 47-70, 2003.


Current ongoing work

Numerical Solution of a Sub-Riemannian Optimal Control Problem for a Quantum Spin System, with C. Moseley, preprint submitted to IEEE Conference on Decision and Control, 2008.

Almost Global Robust Attitude Tracking Control of Spacecraft in Gravity, with N. A. Chaturvedi, to be presented in AIAA Guidance, Navigation and Control Conference, August 2008.


Collaborators