Stability radius of linear interval parameter circuits

Abstract:
A method for determining the stability radius of linear interval parameter circuits is suggested for the case where the dynamics of the circuit studied is modeled by an interval matrix A. The method is based on a transformation of the original problem into the problem of determining the maximum magnitude eigenvalue of an associated interval generalized eigenvalue problem. It is applicable if certain sufficient, computationally verifiable conditions are satisfied. It is shown that its numerical complexity is polynomial in the size n of the interval matrix involved. Numerical examples illustrating the applicability of the new method are also provided.