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• W3100340340 abstract "We apply methods of the so-called `inverse problem of the calculus of variations' to the stabilization of an equilibrium of a class of two-dimensional controlled mechanical systems. The class is general enough to include, among others, the inverted pendulum on a cart and the inertia wheel pendulum. By making use of a condition that follows from Douglas' classification, we derive feedback controls for which the control system is variational. We then use the energy of a suitable controlled Lagrangian to provide a stability criterion for the equilibrium." @default.
• W3100340340 created "2020-11-23" @default.
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• W3100340340 date "2016-01-01" @default.
• W3100340340 modified "2023-10-10" @default.
• W3100340340 title "The Inverse Problem of the Calculus of Variations and the Stabilization of Controlled Lagrangian Systems" @default.
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• W3100340340 doi "https://doi.org/10.1137/16m1060091" @default.
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