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...