IEEE Transactions on Automatic Control, Vol.38, No.11, 1671-1675, 1993
Expansion of det(A+b) and Robustness Analysis of Uncertain State-Space Systems
In this note, an expansion for the determinant of the sum of two matrices, det (A + B), is given. A robustness analysis approach for state space systems with uncertain parameters is investigated by using Kharitonov’s theorem. Some useful results are obtained. Several illustrative examples are given.
Keywords:DEPENDENT COEFFICIENT PERTURBATIONS;FREQUENCY-DOMAIN CONDITIONS;STRICT HURWITZ PROPERTY;KHARITONOV THEOREM;PERTURBED POLYNOMIALS;STABILITY;PROOF;POLYTOPES