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 ...

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

Abstract: An iterative algorithm to solve periodic Riccati differential equations (PRDE) with an indefinite quadratic term ... The global convergence and the local quadratic rate of convergence are ...

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 ...