A classic math rule now handles infinity. New work strengthens the math behind physics and unbounded systems. % ...

Yosra Barkaoui’s doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has been limited to the bounded case. The research ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

BLUF: This repo demonstrates the reduction pattern in runnable form under explicit bounds. It does not solve the Halting Problem, and it is not a safety certification tool for real autonomous systems.

Abstract: Stability conditions for discrete-time stochastic systems characterized by general stochastic processes have been discussed in earlier articles, under the assumption that the systems are ...

Abstract: This article is concerned with the ultimately bounded filtering problem for a class of linear time-delay systems subject to norm-bounded disturbances and impulsive measurement outliers (IMOs ...