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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
CORR
2011
Springer
176views Education» more  CORR 2011»
12 years 11 months ago
Inner approximations for polynomial matrix inequalities and robust stability regions
Following a polynomial approach, many robust fixed-order controller design problems can be formulated as optimization problems whose set of feasible solutions is modelled by para...
Didier Henrion, Jean B. Lasserre