We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
—We study the logic of dynamical systems, that is, logics and proof principles for properties of dynamical systems. Dynamical systems are mathematical models describing how the s...
Dot-products are one of the essential and recurrent building blocks in scientific computing, and often take-up a large proportion of the scientific acceleration circuitry. The ac...
A general verification algorithm is described. It is then shown how ellipsoidal methods developed by A. B. Kurzhanski and P. Varaiya can be adapted to the algorithm. New numerical ...
— A planar compass-like biped on a shallow slope is the simplest model of a passive walker. It is a two-degrees-offreedom impulsive mechanical system known to possess periodic so...
Leonid B. Freidovich, Uwe Mettin, Anton S. Shiriae...