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arXiv · 2609.26541

Robust Strictly Positive Real Synthesis for Sixth-Order Interval Polynomial Families

Tiancheng Xu·Guowei Dou·Xiang Ji·Long Wang·Wensheng Yu
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Abstract

Every Hurwitz-stable interval family of monic real polynomials of degree six admits a single real numerator of degree six that makes all the associated transfer functions strictly positive real. We give a constructive proof. The complete existence theorem has been formalized in Lean4.

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Tiancheng Xu, Guowei Dou, Xiang Ji, Long Wang, Wensheng Yu. 2026-09-23. Robust Strictly Positive Real Synthesis for Sixth-Order Interval Polynomial Families. https://arxiv.org/abs/2609.26541

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