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The continuization of a discrete process and applications in interpolation and multi-rate control

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  • Verriest, Erik I.

Abstract

The inverse problem of the discretization for a linear system is solved. It is shown that an nth-order discrete system can always be “continuized” by a minimal real system of order between n and 2n. Applications to Lyapunov equations equivalence and certain interpolation methods are given. This is of independent interest in multi-rate control systems, especially when the rates are not commensurate.

Suggested Citation

  • Verriest, Erik I., 1993. "The continuization of a discrete process and applications in interpolation and multi-rate control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(1), pages 15-31.
    • Handle: RePEc:eee:matcom:v:35:y:1993:i:1:p:15-31
    DOI: 10.1016/0378-4754(93)90034-R
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