Abstract

Stability criteria are proposed for two–variable (2D) polynomials having interval parameters in polynomic uncertainty structures. Both the left–half plane and unit circle domains are considered. Save for a minor condition, the criteria reduce robust stability testing of 2D polynomials to testing positivity of only two polynomials. The appealing feature of the new robustness criteria is that positivity testing can be carried out by using the efficient Bernstein minimization algorithms.

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