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» Asymptotic Nonlinearity of Boolean Functions
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CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 2 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
CSDA
2010
100views more  CSDA 2010»
13 years 6 months ago
Least squares estimation of nonlinear spatial trends
The goal of this work is to study the asymptotic and finite sample properties of an estimator of a nonlinear regression function when errors are spatially correlated, and when the...
Rosa M. Crujeiras, Ingrid Van Keilegom
APPML
2006
81views more  APPML 2006»
13 years 7 months ago
On the nonlinearity of linear recurrence sequences
We obtain an upper bound on a new type of exponential sums with linear recurrence sequences. We apply this bound to estimate the Fourier coefficients, and thus the nonlinearity, o...
Igor Shparlinski, Arne Winterhof
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
13 years 12 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
MCS
2008
Springer
13 years 7 months ago
On the stability analysis of nonlinear systems using polynomial Lyapunov functions
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist posi...
Hajer Bouzaouache, Naceur Benhadj Braiek