An extreme point result for robust stability of discrete-timeinterval polynomials

摘要

For the case of discrete-time interval polynomials, the attainmentnof Kharitonov-like extreme point results has been a focal point ofnrecent research. To date, the strongest available result is applicablensubject to the restriction that the coefficients of z^kn are fixed for kn/2, where n is the degree of the intervalnpolynomial. Conditions are given under which perturbations can bentolerated in the higher order coefficients while preserving the propertynthat stability of the extreme polynomials implies stability of thenentire family