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In the latter case, controllability issues are overcome thanks to the proposed design which decouples the uncontrollable mode from the rest of the system.
The non-linear transfer of energy from symmetric motions to skew-symmetric modes, due to non-linear inertia and curvature effects, provides the key physical mechanism for channelling suitable control power from the actuators into the linearly uncontrollable mode.
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A nonlinear controller is designed to indirectly stabilize the uncontrollable modes to a stable manifold around the equilibrium.
The model presented in this paper addresses flux and energy conservation issues, discussing the mechanisms behind the creation of uncontrollable modes.
Without imposing any growth condition, we prove that every chain of odd power integrators perturbed by a C1 triangular vector field is globally stabilizable via non-Lipschitz continuous state feedback, although it is not stabilizable, even locally, by any smooth state feedback because the Jacobian linearization may have uncontrollable modes whose eigenvalues are on the right half-plane.
State estimation and fault diagnosis problems are discussed for a class of hybrid nonlinear systems modelled by hybrid automata, which have uncontrollable discrete mode transitions and parametric uncertainties.
If an open-loop system is stabilizable but not controllable, all its uncontrollable open-loop modes are invariant and stable under any state-feedback law.
In Henkel norm approximation, first the minimality of the system should be checked, and then it eliminates uncontrollable and unobservable modes.
These character-specific commands change when the player goes into "Trance mode", which is activated for a short duration when an uncontrollable gauge fills as character sustains damage in a style similar to the Limit Breaks used in Final Fantasy VII.
Uncontrollable laughter.
It's uncontrollable".
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