### Abstract

Given a continuous-time system, a technique to directly obtain an approximate delta-operator formulated discrete-time system (δ-system) is presented. For this purpose, the analog of the well known Boxer-Thaler integrators (q-forms) applicable to shift-operator formulated discrete-time systems (q-systems) are derived for δ-systems. Next, using these δ-forms, a method to obtain an approximate δ-system of a given continuous-time system is derived. This algorithm is easily implementable in a computer with little computational burden. It is shown that, as sampling time decreases, the δ-system thus obtained yields the given continuous-time system further verifying the close equivalence between this formulation and continuous-time systems. Two examples illustrating advantages that may be gained by utilizing these δ-forms in digitizing analog systems are also included.

Original language | English (US) |
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Pages (from-to) | 581-585 |

Number of pages | 5 |

Journal | IEEE Transactions on Automatic Control |

Volume | 39 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1994 |

### ASJC Scopus subject areas

- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering

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## Cite this

*IEEE Transactions on Automatic Control*,

*39*(3), 581-585. https://doi.org/10.1109/9.280764