Abstract
The simplicity of elementary transformations on the system matrix of a linear system can be exploited for unifying algebraic methods of analysis and design. Certain classes of allowable operations are discussed, and then their use is illustrated for the calculation of canonical forms, maximal (A,B)-invariant and controllability subspaces, transmission zeros, and minimal inverses. Questions of numerical accuracy and genericity are discussed. The results are directly codable as efficient numerical algorithms.
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