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In this paper we propose a procedure to reduce a 2 - D square polynomial matrix of arbitrary degrees to matrix pencils of the form sX + ZY + A, using zero coprime equivalence. As a further step, we provide the necessary and sufficient condition by which pencils of specific forms, appearing as parametric families, are zero coprime equivalent to a 2 - D regular polynomial matrix. Appropriate examples...
This paper extends the norm-optimal control design methodology of iterative learning control (ILC) to the case of linear time-varying discrete repetitive processes (LTV-DRP) driven by known iteration-varying reference input signals. Our approach exploits the idea of the internal model principle for robust servomechanism design and uses a state-space model of LTV-DRPs introduced in our earlier work...
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