Tableau methods for analysis and design of linear systems

Abstract

Certain classes of elementary operations on the system matrix of a linear system are defined, and then their use is illustrated for the calculation of canonical forms, the largest ( A, B)-invariant and controllability subspaces in ker( C), transmission zeros, and minimal inverses. Questions of numerical accuracy are discussed. The results are directly codable as efficient numerical algorithms, and may be extended to the use of orthogonal transformations.