Pearson, J. B.2018-12-182018-12-181980Kontos, Athanasios V.. "Computational methods in the design of linear control systems." (1980) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104398">https://hdl.handle.net/1911/104398</a>.https://hdl.handle.net/1911/104398This thesis considers the problem of computing controllers for multivariable systems. System representation is in terms of polynomial matrices and two algorithms are presented which are shown to be useful in the design of controllers for such systems. These algorithms are: i) Factorization of a polynomial matrix, and ii) Computation of a unimodular matrix U satisfying the relation [A B]U = I 1, where A and B are left coprime polynomial matrices. These algorithms do not involve numerically unsatisfactory Euclidean type operations. It is shown that the two algorithms can be used to compute solutions to the system stabilization problem and to the model matching problem. The Regulator Problem with Internal Stability (RPIS) is also discussed, and under certain assumptions it is shown how solutions can be computed.155 ppengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.ThesisRICE2033reformatted digitalTHESIS E.E. 1980 KONTOS