低阶多项式段和区间多项式的鲁棒SPR综合
Robust SPR Synthesis for Low-Order Polynomial Segments and Interval Polynomials
摘要:
证明了对于低阶(n < 5)稳定的多项式段或区间多项式,总存在一个固定的多项式使得它们的比是SPR不变的,从而为Anderson关于四阶稳定区间多项式SPR综合的主张提供了严格的证明.此外,还讨论了低阶多项式段的SPR综合与低阶区间多项式的SPR综合之间的关系。
英文摘要:
We prove that, for low-order (n < 5) stable polynomial segments or interval polynomials, there always exists a fixed polynomial such that their ratio is SPR-invariant, thereby providing a rigorous proof of Anderson's claim on SPR synthesis for the fourth-order stable interval polynomials. Moreover, the relationship between SPR synthesis for low-order polynomial segments and SPR synthesis for low-order interval polynomials is also discussed.
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