Abstract: We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in . We ...

I worry about information quality in the AI era, given poor public education, media restrictions, and the need for informed ...

Save guides, add subjects and pick up where you left off with your BBC account. To sketch a quadratic function you must first determine the roots, nature and coordinates of the turning point and ...

Abstract: A composite quadratic Lyapunov function introduced recently was shown to be very useful in the study of set invariance properties for linear systems with input and state constraints and for ...

Invented by Leonardo Torres in 1920, the Torres calculating machine is a machine that solves essential addition, subtraction, ...

You scrambled up a Rubik's cube, and now you want to put it back in order. What sequence of moves should you make?

That year, French mathematician Évariste Galois finally illustrated why this was such a problem—the underlying mathematical symmetry in the established methods for lower-order polynomials simply ...

A milestone was achieved by developing a DNA-based supercomputer capable of running over 100 billion tasks simultaneously.

The boundaries of computing are shifting as biology fuses with technology. At the center of this new frontier is an emerging ...