Research Interests
- Nonlinear Control Theory
- Topological Problems in Control Theory
- Geometric Equivalence Problems
- Mathematical Problems in Computer Vision and Image Processing
Selected Recent Publications
- A. Mansouri, "Topological Obstructions to Submanifold Stabilization",
IEEE Transactions on Automatic Control (to appear).
- A. Mansouri, "An Extension of Cartan's Method of Equivalence to Immersions: I. Necessary Conditions",
Differential Geometry and its Applications Vol. 27 (5) 2009, 635--646.
- R.W. Brockett, A. Mansouri, "Short-time asymptotics of heat kernels for a class of hypoelliptic
operators", American Journal of Mathematics Vol. 131 (6) 2009, 1795--1814.
- B. Gharesifard, A. Lewis, A. Mansouri, "A geometric framework for stabilization by energy shaping:
sufficient conditions for existence of solutions", Communications in Information and
Systems Vol. 8 (4) 2008, 353--398.
- A. Mansouri, "A topological obstruction to unit tangent
bundles", C.R. Math. Acad. Sci. Soc.
R. Can., Vol. 29 (3) 2007, 87--90.
- A. Mansouri, "Local asymptotic feedback
stabilization to a submanifold: topological conditions", Systems Control Lett., 56
(2007), no. 7-8, 525--528.
- A. Mansouri, "Topological obstructions to regular
non-integrable rank-2 distributions", C. R. Math. Acad. Sci. Paris
344 (2007), no. 7, 453--456.
- A. Mansouri, "Pattern generation,
topology, and non-holonomic systems", Systems Control Lett., 54
(2005), no. 10, 953--959.
- A. Mansouri, "On isotropic sub-Riemannian contact
manifolds", C. R. Math. Acad. Sci. Paris 339 (2004), no. 1,
39--42.
- A. Mansouri, D.P. Mukherjee, S.T. Acton, "Constraining active contour evolution via Lie groups of
transformation", IEEE Trans. Image
Proc., 13 (2004), no. 6, 853--863.
Academic Experience
- Post-Doctoral Associate, Laboratory for Information and
Decision Systems, MIT.
- Ph.D. (Applied Mathematics), Harvard University.
- M. Sc. (Mathematics), McGill University.
- M.Eng (Electrical) McGill University.
- B.Eng (Electrical) McGill University.
Teaching
- Winter 2010: MATH 332 (Introduction to Control)
- Winter 2010: APSC 174 (Linear Algebra)
- Fall 2009: MATH 430/830 (Modern Control Theory)
- Fall 2009: MATH 844 (Introduction to Differentiable Manifolds)
- Winter 2009: MATH 332
- Winter 2009: APSC 174
- Fall 2008: MATH 430/830
- Winter 2008: MATH 332
- Winter 2008: MATH 844
- Fall 2007: MATH 430/830
- Fall 2007: MATH 949 (Special Topics in Differential
Geometry: Geometric Equivalence)
- Winter 2007: MATH 332
- Winter 2007: MATH 844
- Winter 2007: MATH 891 (Special Topics in Applied
Mathematics: Viscosity Solutions of Hamilton-Jacobi PDEs)
- Fall 2006: MATH 430/830
- Winter 2006: MATH 844
- Winter 2006: MATH 335 (Mathematical Methods for Engineers)
- Fall 2005: MATH 430/830
Current Students
- Caroline Seguin (M.Sc., 2009 - )
- Jeffrey Calder (M.Sc., 2008 - )
Former Students
- Bahman Gharesifard (in co-supervision with Andrew Lewis)
(PhD, 2005 - 2009)(currently a post-doctoral fellow at UCSD)
- Thomas Norman (M.Sc. 2006-07)(currently a PhD student at Harvard U.)
- Michael Greene (M.Sc. 2006-07)
Professional Memberships
- American Mathematical Society (AMS)
- Mathematical Association of America (MAA)
- Society for Industrial and Applied Mathematics (SIAM)
- Institute of Electrical and Electronics Engineers (IEEE)
- Professional Engineers Ontario (PEO)
Contact
419 Jeffery Hall,
Queen's University,
Mathematics and Statistics,
Kingston, ON K7L 3N6, Canada
email: mansouri at mast.queensu.ca |
