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» Grasping Infinity by Finite Sets
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MLQ
1998
71views more  MLQ 1998»
13 years 5 months ago
Grasping Infinity by Finite Sets
Ferrante Formato, Giangiacomo Gerla
CDC
2010
IEEE
216views Control Systems» more  CDC 2010»
13 years 13 days ago
On infinity norms as Lyapunov functions: Alternative necessary and sufficient conditions
This paper considers the synthesis of infinity norm Lyapunov functions for discrete-time linear systems. A proper conic partition of the state-space is employed to construct a fini...
Mircea Lazar
CPC
2008
65views more  CPC 2008»
13 years 5 months ago
The Distribution of Patterns in Random Trees
Let Tn denote the set of unrooted labeled trees of size n and let M be a particular (finite, unlabeled) tree. Assuming that every tree of Tn is equally likely, it is shown that the...
Frédéric Chyzak, Michael Drmota, Tho...
INFORMATICALT
2008
123views more  INFORMATICALT 2008»
13 years 5 months ago
A New Applied Approach for Executing Computations with Infinite and Infinitesimal Quantities
Abstract. A new computational methodology for executing calculations with infinite and infinitesimal quantities is described in this paper. It is based on the principle `The part i...
Yaroslav D. Sergeyev
JSCIC
2010
145views more  JSCIC 2010»
13 years 6 days ago
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
Erik Burman, Alfio Quarteroni, Benjamin Stamm