Abstract: LaSalle’s invariance principle is a commonly used extension of Lyapunov’s second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, ...

Abstract: The adverse impacts of commutation failure (CF) of a line-commutated converter (LCC)-based high-voltage direct current (HVdc) system on the connected ac system are becoming more serious for ...

Sparse methods are primarily valuable for systems in which the number of non-zero entries is substantially less than the overall size of the matrix. Such situations are common in physical systems, ...

Can neural networks learn to solve partial differential equations (PDEs)? We investigate this question for two (systems of) PDEs, namely, the Poisson equation and the steady Navier–Stokes equations.

"Our approach gives astronomers an idea of how many spots a star might have, where they are located, and how bright or dark ...

Lincoln's S. Kathleen Lyons is providing a new framework—Earth system engineering—for examining how organisms, including humans, have fundamentally altered ecosystems on a global scale across hundreds ...

Academic and author Tom Bellamy, author of the book Smitten, explains how to recognize the signs of limerence, a romantic ...

At crime scenes around the world, the forensic entomologist Paola Magni is taking her field into uncharted waters By Jordan Michael Smith Photographs by Guido Gazzilli and Claire Martin Paola Magni in ...

Heroic Minneapolis middle schoolers prevented a “significantly worse” tragedy during Wednesday’s mass shooting as they shielded their younger peers because of the school’s “buddy system.” Officials at ...

70 + 30 ÷ 2 x 3. The simple math problem may have been a breeze in school, but as most people don't regularly solve equations, social media users were racking their brains to remember what to do. An X ...

Use these skills and tools to make the most of it. by Antonio Nieto-Rodriguez Quietly but powerfully, projects have displaced operations as the economic engine of our times. That shift has been a long ...