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SCL
2011
12 years 10 months ago
Regularity issues for the null-controllability of the linear 1-d heat equation
The fact that the heat equation is controllable to zero in any bounded domain of the euclidean space, any time T > 0 and from any open subset of the boundary is well known. On ...
Sorin Micu, Enrique Zuazua
SIAMREV
2010
174views more  SIAMREV 2010»
13 years 2 months ago
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the ...
Benjamin Recht, Maryam Fazel, Pablo A. Parrilo
ESANN
2008
13 years 9 months ago
A Regularized Learning Method for Neural Networks Based on Sensitivity Analysis
The Sensitivity-Based Linear Learning Method (SBLLM) is a learning method for two-layer feedforward neural networks, based on sensitivity analysis, that calculates the weights by s...
Bertha Guijarro-Berdiñas, Oscar Fontenla-Ro...
TIT
2008
133views more  TIT 2008»
13 years 7 months ago
On the Uniqueness of Nonnegative Sparse Solutions to Underdetermined Systems of Equations
An underdetermined linear system of equations Ax = b with non-negativity constraint x 0 is considered. It is shown that for matrices A with a row-span intersecting the positive o...
Alfred M. Bruckstein, Michael Elad, Michael Zibule...
CDC
2008
IEEE
142views Control Systems» more  CDC 2008»
13 years 8 months ago
Stability analysis of linear hyperbolic systems with switching parameters and boundary conditions
Abstract— We study asymptotic stability of an infinite dimensional system that switches between a finite set of modes. Each mode is governed by a system of one-dimensional, lin...
Saurabh Amin, Falk M. Hante, Alexandre M. Bayen