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Stability robustness computation of quasipolynomials with affine coefficient perturbations

机译:仿射系数扰动的拟多项式的稳定性鲁棒性计算

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This paper considers the problem of the stability robustness computation of quasipolynomials with coefficients which are affine functions of the parameter perturbations. A quasipolynomial is said to be stable if its roots are contained in an arbitrarily pre-specified open set in the complex plane, and its stability robustness is then measured by the norm of the smallest parameter perturbation which destabilizes the quasipolynomial. A simple and numerically effective procedure, which is based on the Hahn-Banach theorem of convex analysis, and which is applicable for any arbitrary norm, is obtained to compute the stability robustness. The computation is then further simplified for the case when the norm used is the Holder /spl infin/-norm, 2-norm or 1-norm.
机译:本文考虑了具有作为参数摄动仿射函数的系数的拟多项式的稳定性鲁棒性计算的问题。如果拟多项式的根包含在复平面中的任意预先指定的开放集中,则称该拟多项式是稳定的,然后通过最小化该拟多项式不稳定的最小参数摄动范数来衡量其稳定性鲁棒性。基于凸分析的Hahn-Banach定理,得出了一种简单且数值有效的过程,该过程适用于任何任意范数,以计算稳定性鲁棒性。然后,当所使用的范数为Holder / spl infin / norm,2-norm或1-norm时,可进一步简化计算。

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