Convergent dynamics of optimal nonlinear damping control

Following the Demidovich’s concept and definition of convergent systems, we analyze optimal nonlinear damping control which was recently proposed for second-order systems. Targeting problem servo-regulation, more specifically output tracking C1 reference trajectories, it is shown that all solutions system are globally uniformly asymptotically stable. The existence unique limit solution in coordinates origin error its time derivative sense dynamics. Explanatory numerical examples provided to accompany analysis.