Abstract: This work investigates the time-optimal control of a linear oscillator with switchable frequencies under a constant frictional torque. We determine the minimum time required to steer the ...

A damped harmonic oscillator is governed by the differential equation: $$m \frac{d^2x}{dt^2} + b \frac{dx}{dt} + kx = 0$$ where $m = 1 \text{ kg}$, $k = 5 \text{ N/m ...

Abstract: A traditional AC transmission system has been expanded into a diversified, flexible, the study of the stability of the traditional AC power grid is obviously unable to meet the demand. For ...

Standard GANs learn to mimic data distributions without any knowledge of underlying physical laws. This project adds an ODE residual loss alongside the adversarial ...