Structured singular values and stability analysis of uncertain polynomials. I: The generalized \(\mu\)
This paper contains an early development to a second companion paper by the authors [ibid., No. 2, 97-109 (1994; Zbl 0826.93054)]. A generalized structured singular value with respect to mixed real and complex uncertainties is introduced and an analytical expression for rank-one matrices is derived. The result, applicable to a wide class of norms, involves solving a convex optimization problem in one real variable, rendering the structured singular value readily solvable. The expression can be solved explicitly by performing a finite number of evaluations for specific norms (fairly general) and an optimization procedure is not necessary.
scientific article; zbMATH DE number 640411
scientific article