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29 March 2024
 
  » » arxiv » 166664

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Robust SPR Synthesis for Low-Order Polynomial Segments and Interval Polynomials
Long Wang ; Wensheng Yu ;
Date 23 Feb 2002
Subject Optimization and Control; Dynamical Systems MSC-class: 93B50; 93C41 | math.OC math.DS
AbstractWe 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.
Source arXiv, math.OC/0202242
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