Abstract
We prove that, for low-order (n /spl les/ 4) stable polynomial segments or interval polynomials, there always exists a fixed polynomial such that their ratio is strict positive realness (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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