A decomposition of a given linear time-varying singular control system is developed by defining the output-nulling space with respect to a given output structure. Relevant subspaces and the dynamics on them are described by computable projection operators obtained from information in the system’s derivative array. The relevant projectors are generated as solutions of a homogeneous linear matrix-differential equation. An algorithm for obtaining the system decomposition is outlined in a pointwise manner.
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William J. Terrell (1994) studied this question.
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