### Abstract

Language | English |
---|---|

Title of host publication | Proceedings of the 2003 American Control Conference, 2003 |

Publisher | IEEE |

Pages | 429-434 |

Number of pages | 6 |

ISBN (Print) | 0-7803-7896-2 |

DOIs | |

Publication status | Published - 2003 |

### Fingerprint

### Keywords

- frequency-domain representation
- linear time-invariant feedback systems
- linear operators

### Cite this

*Proceedings of the 2003 American Control Conference, 2003*(pp. 429-434). IEEE. https://doi.org/10.1109/ACC.2003.1239040

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*Proceedings of the 2003 American Control Conference, 2003.*IEEE, pp. 429-434. https://doi.org/10.1109/ACC.2003.1239040

**A consistent time-domain and frequency-domain representation for discrete-time linear time-invariant feedback systems.** / Leithead, W.E.; O'Reilly, J.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

TY - GEN

T1 - A consistent time-domain and frequency-domain representation for discrete-time linear time-invariant feedback systems

AU - Leithead, W.E.

AU - O'Reilly, J.

PY - 2003

Y1 - 2003

N2 - A framework for the consistent time-domain and frequency-domain representation of discrete-time linear time-invariant systems is established. As required, the class of signals constitute a linear space and the class of systems constitute an algebra of linear operators mapping the class of signals into itself. Furthermore, the inverses of the return difference operators exist and they themselves belong to the chosen class of systems. The formalism, amongst other things, supports the consistent analysis of discrete-time linear time-invariant feedback systems when signals are double-sided and the systems are open-loop unstable.

AB - A framework for the consistent time-domain and frequency-domain representation of discrete-time linear time-invariant systems is established. As required, the class of signals constitute a linear space and the class of systems constitute an algebra of linear operators mapping the class of signals into itself. Furthermore, the inverses of the return difference operators exist and they themselves belong to the chosen class of systems. The formalism, amongst other things, supports the consistent analysis of discrete-time linear time-invariant feedback systems when signals are double-sided and the systems are open-loop unstable.

KW - frequency-domain representation

KW - linear time-invariant feedback systems

KW - linear operators

U2 - 10.1109/ACC.2003.1239040

DO - 10.1109/ACC.2003.1239040

M3 - Conference contribution book

SN - 0-7803-7896-2

SP - 429

EP - 434

BT - Proceedings of the 2003 American Control Conference, 2003

PB - IEEE

ER -