At each sampling time instant, one observes system output and action to form discrete-time rewards. The sampled input-output data are collected along the trajectory of the dynamical system in ...

R. A. Braker and L. Y. Pao, "Proximate Time-Optimal Control of a Harmonic Oscillator," IEEE Trans. Automatic Control, 63(6): 1676-1691, June 2018. F. Dunne and L. Y. Pao, "Optimal Blade Pitch Control ...

Optimal control theory for differential equations is a pivotal discipline that combines rigorous mathematical analysis with practical applications in engineering, economics, and the natural sciences.

Time-optimal motion planning represents a critical area in robotics research, focusing on the design of trajectories that minimise execution time while respecting kinematic and dynamic constraints.