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» A generalization of the Lin-Zhao theorem
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JSC
2010
96views more  JSC 2010»
13 years 6 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner
MCSS
2007
Springer
13 years 7 months ago
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
Frédéric Mazenc, Dragan Nesic
DAM
1998
85views more  DAM 1998»
13 years 7 months ago
Separability Generalizes Dirac's Theorem
In our study of the extremities of a graph, we define a moplex as a maximal clique module the neighborhood of which is a minimal separator of the graph. This notion enables us to...
Anne Berry, Jean Paul Bordat
MCSS
2007
Springer
13 years 7 months ago
An ISS small gain theorem for general networks
We provide a generalized version of the nonlinear small gain theorem for the case of more than two coupled input-to-state stable (ISS) systems. For this result the interconnection...
Sergey Dashkovskiy, Björn Rüffer, Fabian...
JCT
2007
82views more  JCT 2007»
13 years 7 months ago
A new generalization of Mantel's theorem to k-graphs
Let the k-graph Fank consist of k edges that pairwise intersect exactly in one vertex x, plus one more edge intersecting each of these edges in a vertex different from x. We prov...
Dhruv Mubayi, Oleg Pikhurko