This proceedings volume documents the 3rd IFAC Workshop on Lagrangian and Hamiltonian Methods in Nonlinear Control (LHMNLC'06) that was held in Nagoya, Japan, on July 19-21, 2006. The ?rst workshop in this series was chaired and organized by ProfessorsN. E. Leonard and R. Ortega, and was held in Princeton, USA, in March 2000. The second one was chaired and organized by Professors A. Astol?, F. Gordillo and A. J. van der Schaft, and was held in Seville, Spain, in April 2003. A vibrantsynergyis documented between areassuch as nonlinear controland optimal control theory, di?erential and Riemannian geometry, Lagrangian and Hamiltonian mechanics, nonsmooth optimization, and dynamical systems. The articles in this volume focus on technological areas including not only control of mechanical systems, but also geometricoptimization, networkedcontrol, control of chemical processes, robotic locomotion, quantum systems, multi-agent s- tems, and robotic grasping and telemanipulation. Novel scienti?c contribution are proposed in a wide variety of techniques including synchronization, control Lyapunov functions, energy and power-based control, optimization algorithms, fault-tolerantcontrol, geometricreduction theory, and iterativelearning control, to name a few. Financial support for the workshop was provided by the 21st Century COE Program (Tokyo Institute of Technology) "Innovation of Creative Engineering through the Development of Advanced Robotics," the Suzuki Foundation, the Daiko Foundation and the University of Nagoya. We also would like to thank all the participants to the workshop, all the members of the national and - ternational organizing committees, the IFAC Secretariat, the IFAC Publications Committee, and the Springer-Verlag review board for the LNCIS series.