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On zero-order hold equivalents of distributed parameter systems

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3 Author(s)
Helmicki, A.J. ; Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA ; Jacobson, C.A. ; Nett, C.N.

Various connections are established between linear time-invariant distributed parameter continuous-time systems and their zero-order hold discrete-time equivalents. These connections are established in both the time and frequency domains. The time-domain connections relate various growth constants and norm bounds of the continuous-time systems considered to those of their zero-order hold discrete-time equivalents. The frequency-domain connection provides an upper bound on the difference between the frequency response of a continuous-time system and that of its zero-order hold discrete-time equivalent.<>

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Automatic Control, IEEE Transactions on  (Volume:37 ,  Issue: 4 )