New results on the algebraic theory of linear systems: the solution of the cover problems

@inproceedings{Antoulas1983NewRO,
  title={New results on the algebraic theory of linear systems: the solution of the cover problems},
  author={Athanasios C. Antoulas},
  year={1983}
}
Abstract We give the complete solution of a large class of problems in linear system theory, the so-called cover problems. These problems are formulated and solved both in the state-space and in the input-output frameworks. The key concept, which allows the effective parametrization of all solutions of the cover problems, is that of the partial realizations of a sequence of matrices. It is shown that the solutions of the state-space cover problems can be expressed as state spaces of the partial… CONTINUE READING

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