… time-varying implicit trajectories. We prove that incorporation of this "dynamic inverter" into
a tracking controller provides exponential output tracking of the implicitly defined trajectory for …

… By using IMLE to train our introduced model Social-Implicit, the predicted trajectories improve
… the Trajectory Conditioned IMLE mechanism used in training our model Social-Implicit. We …

… seLting awl motivation for the tracking of implicitly defined trajectories. In thi:s section we
will apply tht: controller dt:scriht:d ahovt: to the prohlt:m of Olltpllt tracking for a simplt: ulOdel of …

… torque control and an implicit Lyapunov function method. … The implicit Lyapunov function
method is developed in the … In this paper, we aim at solving the trajectory tracking control …

… Our trajectory optimization framework is capable to output a locally optimal motion plan. …
Such a motion would be in practice difficult to track. Yet being able to compute such a complex …

… are designed to track the designed trajectories and account … tracking stages. More precisely,
we seek to develop a time-varying optimization based framework for joint real-time trajectory …

… contact dynamics and a custom trajectory optimizer for the tracking problem. We demonstrate
… In this work we employ contactimplicit trajectory optimization [37] to design these references…

… trajectory optimization formulation to synthesize motions for legged robotic systems. The
method is capable of finding optimal trajectories … The jumping trajectories can be tracked on the …

… To test closed-loop tracking performance, a set of walking trajectories was first optimized
using both first-order and variational time-stepping dynamics as constraints. The number of knot …

… tracking capabilities, as well as the predictive power of the proposed trajectory optimization
with implicitly … of static standing, tracking of straight running, and prediction of curved running. …