Book chapters

[Ch1] U. Helmke and J. Trumpf. Conditioned invariant subspaces and the geometry of nilpotent matrices. In W.P. Dayawansa, A. Lindquist, and Y. Zhou, editors, New Directions and Applications in Control Theory, volume 321 of Lecture Notes in Control and Information Sciences, pages 123-164. Springer, 2005. [ DOI | .pdf ]

Journal papers

[J9] J. Trumpf, R. Mahony, T. Hamel, and C. Lageman. Analysis of non-linear attitude observers for time-varying reference measurements. IEEE Transactions on Automatic Control, to appear. Accepted for publication 27 March 2012.
[J8] M. Zamani, J. Trumpf, and R. Mahony. Near-optimal deterministic filtering on the rotation group. IEEE Transactions on Automatic Control, 56(6):1411-1414, 2011. [ DOI | .pdf ]
[J7] C. Lageman, J. Trumpf, and R. Mahony. Gradient-like observers for invariant dynamics on a Lie group. IEEE Transactions on Automatic Control, 55(2):367-377, 2010. [ DOI | .pdf ]
[J6] R. Somaraju and J. Trumpf. Degrees of freedom of a communication channel: using DOF singular values. IEEE Transactions on Information Theory, 56(4):1560-1573, 2010. [ DOI | .pdf ]
[J5] R. Hutchinson, R. Smarandache, and J. Trumpf. On superregular matrices and MDP convolutional codes. Linear Algebra and its Applications, 428(11-12):2585-2596, 2008. [ DOI | .pdf ]
[J4] J. Trumpf. Observers for linear time-varying systems. Linear Algebra and its Applications, 425(2-3):303-312, 2007. [ DOI | .pdf ]
[J3] P.A. Fuhrmann and J. Trumpf. On observability subspaces. International Journal of Control, 79(10):1157-1195, 2006. [ DOI | .pdf ]
[J2] R. Somaraju and J. Trumpf. Frequency, temperature and salinity variation of the permittivity of seawater. IEEE Transactions on Antennas and Propagation, 54(11):3441-3448, 2006. [ DOI | .pdf ]
[J1] J. Trumpf, U. Helmke, and P.A. Fuhrmann. Towards a compactification of the set of conditioned invariant subspaces. Systems and Control Letters, 48(2):101-111, 2003. [ DOI | .pdf ]

Conference papers

[C32] A. Amirsadri, J. Kim, L. Petersson, and J. Trumpf. Practical considerations in precise calibration of a low-cost MEMS IMU for road-mapping applications. In Proceedings of the 2012 American Control Conference (ACC), to appear. Accepted for publication 28 January 2012.
[C31] I. Blumthaler and J. Trumpf. A new parametrization of observers. In Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS), to appear. Accepted for publication 16 March 2012.
[C30] M. Zamani, J. Trumpf, and R. Mahony. Minimum-energy pose filtering on the special euclidean group. In Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS), to appear. Accepted for publication 16 March 2012.
[C29] M. Zamani, J. Trumpf, and R. Mahony. A second order minimum-energy filter on the special orthogonal group. In Proceedings of the 2012 American Control Conference (ACC), to appear. Accepted for publication 28 January 2012.
[C28] T. Hamel, R. Mahony, J. Trumpf, P. Morin, and M.-D. Hua. Homography estimation on the Special Linear Group based on direct point correspondence. In Proceedings of the 50th IEEE Conference on Decision and Control (CDC), pages 7902-7908, 2011. [ .pdf ]
[C27] R. Hartley, K. Aftab, and J. Trumpf. L1-rotation averaging using the Weiszfeld algorithm. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pages 3041 - 3048, 2011. [ DOI | .pdf ]
[C26] M.-D. Hua, M. Zamani, J. Trumpf, R. Mahony, and T. Hamel. Observer design on the Special Euclidean group SE(3). In Proceedings of the 50th IEEE Conference on Decision and Control (CDC), pages 8169-8175, 2011. [ .pdf ]
[C25] R. Mahony, S. Stramigioli, and J. Trumpf. Vision based control of aerial robotic vehicles using the port Hamiltonian framework. In Proceedings of the 50th IEEE Conference on Decision and Control (CDC), pages 3526-3532, 2011. [ .pdf ]
[C24] J. Trumpf, H.L. Trentelman, and J.C. Willems. An internal model principle for observers. In Proceedings of the 50th IEEE Conference on Decision and Control (CDC), pages 3992-3999, 2011. [ .pdf ]
[C23] M. Zamani, J. Trumpf, and R. Mahony. Minimum-energy filtering on the unit circle. In Proceedings of the Australian Control Conference (AUCC), pages 236-241, 2011. [ .pdf ]
[C22] R. Hartley, J. Trumpf, and Y. Dai. Rotation averaging and weak convexity. In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS), pages 2435-2442, 2010. [ .pdf ]
[C21] J. Trumpf and R. Mahony. A converse Liapunov theorem for uniformly locally exponentially stable systems admitting Carathèodory solutions. In Proceedings of the 8th IFAC Symposium on Nonlinear Control Systems (NOLCOS), pages 1374-1378, 2010. [ .pdf ]
[C20] J. Trumpf, R. Mahony, and S. Stramigioli. Error models for nonlinear observers. In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS), pages 1123-1127, 2010. [ .pdf ]
[C19] M. Zamani, J. Trumpf, and R. Mahony. Near-optimal deterministic attitude filtering. In Proceedings of the 49th IEEE Conference on Decision and Control (CDC), pages 6511-6516, 2010. [ DOI | .pdf ]
[C18] G. Baldwin, R. Mahony, and J. Trumpf. A nonlinear observer for 6 DOF pose estimation from inertial and bearing measurements. In Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), pages 2237-2242, 2009. [ DOI | .pdf ]
[C17] P. Coote, J. Trumpf, R. Mahony, and J.C. Willems. Near-optimal deterministic filtering on the unit circle. In Proceedings of the 48th IEEE Conference on Decision and Control (CDC), pages 5490-5495, 2009. [ DOI | .pdf ]
[C16] Y. Dai, J. Trumpf, H. Li, N. Barnes, and R. Hartley. Rotation averaging with application to camera-rig calibration. In Proceedings of the ninth Asian Conference on Computer Vision (ACCV), Part II, pages 335-346, 2009. [ DOI | .pdf ]
[C15] C. Lageman, J. Trumpf, and R. Mahony. Gradient-like observers on semidirect products. In Proceedings of the European Control Conference (ECC), pages 3973-3977, 2009. [ .pdf ]
[C14] C. Lageman, J. Trumpf, and R. Mahony. Observers for systems with invariant outputs. In Proceedings of the European Control Conference (ECC), pages 4587-4592, 2009. [ .pdf ]
[C13] R. Mahony, T. Hamel, J. Trumpf, and C. Lageman. Nonlinear attitude observers on SO(3) for complementary and compatible measurements: A theoretical study. In Proceedings of the 48th IEEE Conference on Decision and Control (CDC), pages 6407-6412, 2009. [ DOI | .pdf ]
[C12] P.Sunehag, J. Trumpf, S.V.N. Vishwanathan, and N. Schraudolph. Variable metric stochastic approximation theory. In Proceedings of the Twelfth International Conference on Artificial Intelligence and Statistics (AISTATS), pages 560-566, 2009. [ .pdf ]
[C11] D. Chik, J. Trumpf, and N.N. Schraudolph. Using a robust adaptive VAR model for motion prediction in 3D hand tracking. In Proceedings of the 8th IEEE International Conference on Automatic Face and Gesture Recognition (FG), 2008. 8 pages (no pagination). [ DOI | .pdf ]
[C10] C. Lageman, R. Mahony, and J. Trumpf. State observers for invariant dynamics on a Lie group. In Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS), 2008. 8 pages (no pagination). [ .pdf ]
[C9] R. Mahony, M. Atif, and J. Trumpf. Controlling the longitudinal dynamics of a vehicle using sensor based haptic feedback. In Proceedings of the 47th IEEE Conference on Decision and Control (CDC), pages 3457-3462, 2008. [ DOI | .pdf ]
[C8] G. Baldwin, R. Mahony, J. Trumpf, T. Hamel, and T. Cheviron. Complementary filter design on the Special Euclidean group SE(3). In Proceedings of the European Control Conference (ECC), pages 3763-3770, 2007. [ .pdf ]
[C7] D. Chik, J. Trumpf, and N.N. Schraudolph. 3D hand tracking in a stochastic approximation setting. In Proceedings of the 2nd workshop on Human Motion - Understanding, Modeling, Capture and Animation, volume 4814 of Lecture Notes in Computer Science, pages 136-151. Springer, 2007. [ DOI | .pdf ]
[C6] J. Trumpf, J. Manton, and R. Mahony. Curvature based updates for optimization problems on a hypersurface. In Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), pages 1408-1411, 2006. [ .pdf ]
[C5] F. Schill, U.R. Zimmer, and J. Trumpf. Towards optimal TDMA scheduling for robotic swarm communication. In Proceedings of the Conference Towards Autonomous Robotic Systems (TAROS), pages 197-203, 2005. [ .pdf ]
[C4] K. Hüper and J. Trumpf. Newton-like methods for numerical optimization on manifolds. In Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, volume 1, pages 136-139, 2004. [ DOI | .pdf ]
[C3] R. Hutchinson and J. Trumpf. On superregular matrices. In Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS), 2004. 3 pages (no pagination). [ .pdf ]
[C2] F. Schill, U.R. Zimmer, and J. Trumpf. Visible spectrum optical communication and distance sensing for underwater applications. In Proceedings of the Australasian Conference on Robotics and Automation (ACRA), 2004. 8 pages (no pagination). [ .pdf ]
[C1] J. Trumpf. Observers for linear time-varying systems. In Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS), 2004. 3 pages (no pagination). [ .pdf ]

Other publications

[O16] P.-A. Absil, J. Trumpf, R. Mahony, and B. Andrews. All roads lead to Newton: Feasible second-order methods for equality-constrained optimization. Technical Report UCL-INMA-2009.024, Université catholique de Louvain, Ingénierie mathématique, 2009. [ .pdf ]
[O15] C. Lageman, R. Mahony, J. Trumpf, and T. Hamel. Convergence of gradient-type observers for invariant systems on SO(n). Book of abstracts, SIAM Conference on Control and Its Applications, 2009. [ Abstract ]
[O14] K. Hüper and J. Trumpf. Invariance properties of Newton-type methods on reductive homogeneous spaces. Book of Abstracts, Ninth SIAM Conference on Optimization, 2008. [ Abstract ]
[O13] R. Somaraju and J. Trumpf. Generalized singular values. Book of Abstracts, The XIX-th International Workshop on on Operator Theory and its Applications (IWOTA), 2008. [ Abstract ]
[O12] J. Trumpf. Observers, invariance and autonomy. Book of abstracts, A workshop on linear systems theory: model reduction (LinSys), 2008. [ Slides | Abstract ]
[O11] P. Sunehag, J. Trumpf, N. Schraudolph, and L. Bottou. Convergence theory for stochastic quasi-Newton methods. Poster at The Snowbird Learning Workshop, 2007. [ .pdf ]
[O10] J. Trumpf. Applications of geometric optimisation techniques to engineering problems. Invited opening lecture, Optimization on manifolds: CDC 2007 pre-conference workshop, December 2007. [ Slides ]
[O9] J. Trumpf and J.C. Willems. An internal model principle for observers. Book of Abstracts, Characteristic Functions and Transfer Functions in Operator Theory and System Theory: a conference dedicated to Paul Fuhrmann on his 70th anniversary and to the memory of Moshe Livsic on his 90th anniversary, July 2007. [ Slides | Abstract ]
[O8] J. Trumpf. Applications of geometric optimisation techniques to engineering problems. Book of Abstracts, 50th Annual Meeting of the Australian Mathematical Society (AustMS), 2006. Invited keynote talk in Special Session “Variational Analysis and Optimization”. [ Slides | Abstract ]
[O7] J. Trumpf. Observers for linear systems. Book of Abstracts, Foundations of Computational Mathematics (FoCM), 2005. Invited talk in Workshop “Mathematical Control Theory and Applications”. [ Abstract ]
[O6] J. Trumpf and K. Hüper. Newton-type methods on Stiefel manifolds. Book of Abstracts, Eighth SIAM Conference on Optimization, 2005. [ Slides | Abstract ]
[O5] R. Hutchinson, J. Trumpf, and J. Rosenthal. Superregular matrices and their importance in convolutional coding theory. Book of Abstracts, 11th Conference of the International Linear Algebra Society (ILAS), 2004. [ Abstract ]
[O4] J. Manton and J. Trumpf. Transporting iterative algorithms from Euclidean space to manifolds. Book of Abstracts, 6th International Conference on Optimization: Techniques and Applications (ICOTA), 2004. [ Slides | Abstract ]
[O3] J. Trumpf. A Bruhat type decomposition of the set of conditioned invariant subspaces. Book of Abstracts, 11th Conference of the International Linear Algebra Society (ILAS), 2004. [ Slides | Abstract ]
[O2] J. Trumpf. On the geometry and parametrization of almost invariant subspaces and observer theory. PhD thesis, Universität Würzburg, Germany, 2002. [ .pdf | Abstract ]
[O1] J. Trumpf and U. Helmke. A manifold structure on the set of functional observers. Book of Abstracts, 15th International Symposium on Mathematical Theory of Networks and Systems (MTNS), 2002. [ Slides | Abstract ]