多项式Schur稳定性的最大摄动区间
Maximal Perturbation Interval for Schur Stability of Polynomials
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摘要: 已知摄动多项式 ,其中诸系数ai(r)(i=0,1,……,n)皆为实变量r 的多项式函数,又设标称多项式p(z,0)是Schur稳定的.这里给出最大摄动区间(rmin, r max)的计算方法,以使对这区间的所有r,多项式p(z,r)都是Schur稳定的.Abstract: Given perturbed polynomials where the coefficients ai(r), i= 0,1,…,n, are polynomial functions of a real variable r, and suppose also the nominal polynomial p(z, 0) is Schur stable, this paper gives a simple method for calculating the maximal perturbation interval (rmin, rmax) so that the polynomials p(z,r) are Schur stable for all r within the interval.
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Key words:
- Schur stability /
- robustness /
- perturbed polynomials
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