一类无向Kautz图的k限制边连通度的上界

在Moor-Shannon网络模型中,k限制边连通度较大的网络一般有较好的可靠性和容错性.本文在无向Kautz图UK(2,n)中研究k限制边连通度的上界ξk,证明了ξ5(UK(2,3))=6,ξ5(UK(2,n))=8,n≥4,且当4≤k≤n时,ξk(UK(2,n))≤2(k-「k/3」).     

On the stability problem of interwining continuous-time systems in Hilbert spaces

In this paper, we are concerned with the stability problem forinterwining systems. Suppose that two values of two C₀ semigroupsare intertwined by an operator. The stability relationshipsbetween these semigroups are considered. Applications to systemswith a rigged structure are presented.     

Extensions of linear systems to duals of countably Hilbertian spaces with graph topology

The state space for an infinite-dimensional system of the form = Ax + Bu can be extended to the dual of a countably Hilbertainspace with graph toplogy. The Study of countably Hilbertianspaces with graph topology and their duals is made. The structuresof the extensions of a C₀ semigroup and the stability theoryof the restrictions and extensions of the semigroup are illustrated.An existence and uniqueness theorem of the solution of the extendedsystem is given.