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Quasivelocities and Optimal Control for Underactuated Mechanical Systems

arXiv:1003.1013 · doi:10.1063/1.3479314

Abstract

This paper is concerned with the application of the theory of quasivelocities for optimal control for underactuated mechanical systems. Using this theory, we convert the original problem in a variational second-order lagrangian system subjected to constraints. The equations of motion are geometrically derived using an adaptation of the classical Skinner and Rusk formalism.

8 pages