We identify a new observability concept, called relative observability, in
Supervisory control of discrete-event systems under partial observation. A
Fixed, ambient language is given, relative to which observability is tested.
Relative observability is stronger than observability, but enjoys the imp...
Let $G$ be a directed graph on finitely many vertices and edges, and assign a
positive weight to each edge on $G$. Fix vertices $u$ and $v$ and consider the
set of paths that start at $u$ and end at $v$, self-intersecting in any number
of places along the way. For each path, sum the weights of its...
We represent $\Z^d$ as a finite disjoint union of translated integer
Sublattices, the translated sublattices must possess some special properties.
We call such a representation a lattice tiling. We develop a theoretical
Framework, based on multiple residues and dual groups. We prove that in any
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