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SIAMJO
2000
113views more  SIAMJO 2000»
13 years 4 months ago
Cones of Matrices and Successive Convex Relaxations of Nonconvex Sets
Let F be a compact subset of the n-dimensional Euclidean space Rn represented by (finitely or infinitely many) quadratic inequalities. We propose two methods, one based on successi...
Masakazu Kojima, Levent Tunçel
AUTOMATICA
2011
12 years 8 months ago
A hierarchy of LMI inner approximations of the set of stable polynomials
Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for positivity of a trigonometric polynomial formulated as linear ma...
Mustapha Ait Rami, Didier Henrion
SIAMSC
2010
120views more  SIAMSC 2010»
13 years 3 months ago
Simultaneously Sparse Solutions to Linear Inverse Problems with Multiple System Matrices and a Single Observation Vector
Abstract. A problem that arises in slice-selective magnetic resonance imaging (MRI) radiofrequency (RF) excitation pulse design is abstracted as a novel linear inverse problem with...
Adam C. Zelinski, Vivek K. Goyal, Elfar Adalsteins...
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 11 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