### Abstract

This paper analyzes the problem of global asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. It is shown that the free response of such a system tends to produce period one limit cycles if conventional quantization arithmetic schemes are used. Explicit necessary conditions for global asymptotic stability are derived, and these demonstrate that, in almost all cases, fixed-point arithmetic does not allow for global asymptotic stability in delta-operator formulated discrete-time systems that use a short sampling time.

Original language | English (US) |
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Title of host publication | Proceedings - IEEE International Symposium on Circuits and Systems |

Publisher | IEEE |

Pages | 461-464 |

Number of pages | 4 |

Volume | 2 |

State | Published - 1994 |

Event | Proceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6) - London, England Duration: May 30 1994 → Jun 2 1994 |

### Other

Other | Proceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6) |
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City | London, England |

Period | 5/30/94 → 6/2/94 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials

### Cite this

*Proceedings - IEEE International Symposium on Circuits and Systems*(Vol. 2, pp. 461-464). IEEE.

**Limit cycles and asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic.** / Premaratne, Kamal; Bauer, Peter H.

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

*Proceedings - IEEE International Symposium on Circuits and Systems.*vol. 2, IEEE, pp. 461-464, Proceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6), London, England, 5/30/94.

}

TY - GEN

T1 - Limit cycles and asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic

AU - Premaratne, Kamal

AU - Bauer, Peter H.

PY - 1994

Y1 - 1994

N2 - This paper analyzes the problem of global asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. It is shown that the free response of such a system tends to produce period one limit cycles if conventional quantization arithmetic schemes are used. Explicit necessary conditions for global asymptotic stability are derived, and these demonstrate that, in almost all cases, fixed-point arithmetic does not allow for global asymptotic stability in delta-operator formulated discrete-time systems that use a short sampling time.

AB - This paper analyzes the problem of global asymptotic stability of delta-operator formulated discrete-time systems implemented in fixed-point arithmetic. It is shown that the free response of such a system tends to produce period one limit cycles if conventional quantization arithmetic schemes are used. Explicit necessary conditions for global asymptotic stability are derived, and these demonstrate that, in almost all cases, fixed-point arithmetic does not allow for global asymptotic stability in delta-operator formulated discrete-time systems that use a short sampling time.

UR - http://www.scopus.com/inward/record.url?scp=0028552576&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028552576&partnerID=8YFLogxK

M3 - Conference contribution

VL - 2

SP - 461

EP - 464

BT - Proceedings - IEEE International Symposium on Circuits and Systems

PB - IEEE

ER -