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SIAMJO
2010
74views more  SIAMJO 2010»
13 years 2 months ago
Various Lipschitz-like Properties for Functions and Sets I: Directional Derivative and Tangential Characterizations
In this work we introduce for extended real valued functions, defined on a Banach space X, the concept of K directionally Lipschitzian behavior, where K is a bounded subset of X. F...
Rafael Correa, Pedro Gajardo, Lionel Thibault
DELTA
2002
IEEE
14 years 9 days ago
Test Chirp Signal Generation Using Spectral Warping
A DSP technique that transforms a digital signal by warping the frequency axis is discussed. The technique corresponds to a mapping of the samples in the z-domain such that they a...
Warwick Allen, Donald G. Bailey, Serge N. Demidenk...
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 1 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
STOC
2004
ACM
150views Algorithms» more  STOC 2004»
14 years 7 months ago
Typical properties of winners and losers in discrete optimization
We present a probabilistic analysis for a large class of combinatorial optimization problems containing, e.g., all binary optimization problems defined by linear constraints and a...
René Beier, Berthold Vöcking
ACTA
2008
88views more  ACTA 2008»
13 years 6 months ago
Weighted height of random trees
We consider a model of random trees similar to the split trees of Devroye [30] in which a set of items is recursively partitioned. Our model allows for more flexibility in the cho...
Nicolas Broutin, Luc Devroye, Erin McLeish