论文信息 - Schur stability of interval bivariate polynomials

Schur stability of interval bivariate polynomials

The necessary and sufficient conditions of Schur stability of interval bivariate polynomials have been established. Based on a simplification, the 2D analysis for stability of interval bivariate polynomials is turned into that of interval 1D polynomials with complex variable coefficients. We reveal that the uncertain coefficients of interval bivariate polynomials are of linear affine property, then we show that the stability of an interval bivariate polynomial can be guaranteed by that of its finite edge polynomials. An algorithm about the stability test of edge polynomials is provided.

Yang Xiao

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