FREQUENCY-DOMAIN CRITERIA FOR ROBUST STABILITY OF PERTURBED SYSTEMS WITH UNCOUPLED VARIATIONS IN ODD AND EVEN COEFFICIENTS

Sets of (characteristic) polynomials with uncoupled variations in odd and even coefficients arise when systems experience parameter variatio ns. This paper derives frequency domain criteria for robust stability of polynomial sets with uncoupled variations in odd and even coefficie nts. The frequency domain criteria only require one frequency domain p lot to check the robustness of polynomial sets with uncoupled variatio ns in odd and even coefficients. Furthermore, the largest stable polyn omial set can be graphically estimated from the same frequency domain plot.