Abstract
The authors present a very simple method, useful for classroom teaching, to obtain a minimal state-space representation (with the exception of systems where there is a pole-zero cancellation) from a transfer function matrix. The method is direct and does not involve the intermediate step of obtaining nonminimal realization-which further requires system reduction routines-and hence is suitable as a compact self-contained topic which has been hitherto neglected in undergraduate linear control theory curriculum.
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