Global analyticity of a geometric decomposition for linear singularly perturbed systems
A geometric decomposition is developed for linear, time-invariant singularly perturbed systems of a general form. The decomposition is shown to be determined by a mapping d between two real analytic manifolds, the range of d being a manifold of canonical forms. The main result establishes analyticity of d over its entire domain.
scientific article; zbMATH DE number 3976865
scientific article