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Review of "Continuous Finite-Time Stabilization of Translational and Rotational Double Integrators" [article]

Olalekan Ogunmolu
2016 arXiv   pre-print
We review Bhat et al's paper where a class of bounded, continuous time-invariant finite time stabilizing feedback laws are derived for the double integrator and Lyapunov theory is employed in establishing  ...  The domain of attraction of the equilibrium point s is D n = {(x, y) : (2n − 1)π < φ α (x, y) < (2n + 1)π}. • The shaded region of the plot shows a portion of D 0 .  ...  Statement of the Problem Consider a rigid body rotating under the action of a mechanical torque about a fixed axis. Its equations of motion resemble those of a double integrator.  ... 
arXiv:1612.01607v2 fatcat:hjdflbiswrhgpmapdldb5sz7qa