Robust SPR Synthesis for Low-Order Polynomial Segments and Interval Polynomials

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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.
A long-standing open problem is solved and extended

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Optimization and Control, Dynamical Systems, 93B50; 93C41

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http://salesiana.dossiersoluciones.com/handle/123456789/63415

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202242
 http://arxiv.org/abs/math/0202242

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arXiv