MacIejowski, JM (2018) *Right-half plane zeros are not necessary for inverse response.* In: European Control Conference, 2018-6-12 to -- pp. 2488-2492..

## Abstract

© 2018 European Control Association (EUCA). The presence of 'inverse response' in the step response of a linear time-invariant system is closely associated with the presence of right-half plane zeros. Various links between the two are known: real positive zeros are sufficient to produce inverse response, and an odd number of positive real zeros is necessary and sufficient to give a particular form of inverse response. On the other hand, the presence of complex right-half plane zeros can result in inverse response, or not. The remaining question is whether the presence of right-half plane zeros is necessary for the presence of inverse response. This paper shows that it is not. This is demonstrated by the generation of a number of counter-examples, using an optimisation algorithm and a particular parametrisation of Hurwitz polynomials. We show that the result holds for a strengthened form of inverse response, which we call ρ-inverse response', and if the system poles are constrained to be real.

Item Type: | Conference or Workshop Item (UNSPECIFIED) |
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Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 10 Feb 2018 20:05 |

Last Modified: | 24 Oct 2019 12:03 |

DOI: | doi:10.23919/ECC.2018.8550187 |