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Stabilization of Rigid Body Dynamics by Internal and External Torques

Bloch, Anthony M.; Krishnaprasad, Perinkulam S.; Marsden, Jerrold E.; Sanchez de Alvarez, G. (1990)

In this paper we discuss the stabilization of the rigid body dynamics by external torques (gas jets) and internal torques (momentum wheels). We compare the stabilizing quadratic quadratic feedback law for a single external ...

Dissipation Induced Instabilities

Bloch, Anthony M.; Krishnaprasad, Perinkulam S.; Marsden, Jerrold E.; Ratiu, Tudor S. (1992)

The main goal of this paper is to prove that if the energy- momentum (or energy-Casimir) method predicts formal instability of a relative equilibrium in a Hamiltonian system with symmetry, then with the addition of ...