Structured Stability Radius
Peter Lancaster, Leiba Rodman · 1995
Abstract In applications, Ω is considered a “good” set, and a matrix X having all its eigenvalues in O is considered a “good” matrix. For example, if n is the open left half-plane, then a “good” matrix means that the matrix is c-stable. In general, r(A; B, C, Ω) can be interpreted informally as the “distance” from a given “good” matrix A to the set of “bad” matrices, where the distance is measured by the size of additive perturbation of the form BDC, with fixed B and C and variable D. The term structured refers to this particular structure of admissible perturbations.