Quanta Magazine

Using AI, Mathematicians Find Hidden Glitches in Fluid Equations

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...
IEEE

Vector Field Guided Path Following Control: Singularity Elimination and Global Convergence

Abstract: Vector field guided path following (VF-PF) algorithms are fundamental in robot navigation tasks, but may not deliver the desirable performance when robots encounter singular points where the ...
INSPIRE

Singularity Structure of the Two Point Function of the Free Dirac Field on a Globally Hyperbolic Space-Time

Motivated by the recent progress in our understanding of quantum field theories in a classical gravitational background due to the application of methods from microlocal analysis, we study the ...
IEEE

Singularity-Free Nonlinear Position Control Using Time-Varying Barrier Lyapunov Function for Permanent Magnet Synchronous Motors

Abstract: Recently, controllers using the barrier Lyapunov function (BLF) are widely used to guarantee the tracking error (or state) constraint. A BLF can be defined ...