STABILITY OF A REAL POLYNOMIAL SET WITH COEFFICIENTS IN A WEIGHTED L(P) DOMAIN

Recently, Bose and Kim [1] have attempted to show that the strict Hurw itz property of a family of polynomials having real coefficients in a L(p) domain for a fixed integer p epsilon [1, infinity) only requires the checking of eight combinations of fixed polynomials to be strictly Hurwitz. While the main result in [1] for p = 1 is correct, the gener alization to p > 1 is incorrect. New necessary and sufficient conditio ns for the stability of a real polynomial set with coefficients in a w eighted L(p) domain for a fixed real p epsilon (o, infinity) are deriv ed. The results of Kharitonov are obtained as a special case of p = in finity.