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Robust schur stability with polynomial parameters

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2 Author(s)
Dumitrescu, B. ; Tampere Int. Center for Signal Process., Tampere Univ. of Technol. ; Bor-Chin Chang

We propose a stability test for discrete-time systems whose coefficients depend polynomially on some bounded parameters. The test is a particular form of Positivstellensatz, appeals to sum-of-squares polynomials and can be implemented as a semidefinite programming problem. Although implementable only in relaxed form, due to the necessity of limiting the degrees of the polynomial variables involved, the experiments show a good accuracy with degrees smaller than for other tests

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:53 ,  Issue: 7 )