Title :
Strict aperiodic property of polynomials with perturbed coefficients
Author :
Soh, C.B. ; Berger, C.S.
Author_Institution :
Dept. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
fDate :
5/1/1989 12:00:00 AM
Abstract :
Let a family of polynomials be P(s)=t 0sn+t1s n±1 + . . . + tn where 0<aj⩽tj⩽b j. V.L. Kharitonov (1978) derived a necessary and sufficient condition for the above equation to have only zeros in the open left-half plane. The present authors derive some similar results for the equation to be strictly aperiodic (distinct real roots)
Keywords :
poles and zeros; polynomials; necessary condition; perturbed coefficients; polynomials; strict aperiodic property; sufficient condition; Asymptotic stability; Combinatorial mathematics; Differential equations; Explosions; Polynomials; Robust stability; Stability analysis; Stability criteria; Sufficient conditions; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
