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

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

2002-02-23

arxiv.org/abs/math/0202242v1

Mathematics

Optimization and Control

A long-standing open problem is solved and extended

Scientific paper

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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