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This paper addresses the investigation of the reachability, observability and stabilizability properties of hybrid linear systems under multirate sampling. Technical results guaranteeing such properties at sampling instants and in between samples are formulated and proved. It is shown that the...
The Wiener index W is the sum of distances between all pairs of vertices of a (connected) graph. Hexagonal systems (HS's) are a special type of plane graphs in which all faces are bounded by hexagons. These provide a graph representation of benzenoid hydrocarbons and thus find applications in...
We propose a new method of generalizing classical link invariants for the case of virtual links. In particular, we have generalized the knot quandle, the knot fundamental group, the Alexander module, and the coloring invariants. The virtual Alexander module leads to a definition of VA-polynomial...
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