Revisiting Kalman and Aizerman conjectures

Taher Naderi; Donatello Materassi; Giacomo Innocenti; Roberto Genesio; Murti V. Salapaka

doi:10.1109/CDC.2017.8263717

Revisiting Kalman and Aizerman conjectures

Taher Naderi, Donatello Materassi, Giacomo Innocenti, Roberto Genesio, Murti V. Salapaka

Electrical and Computer Engineering

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

1 Scopus citations

Abstract

The article revisits Aizerman and Kalman conjectures for absolute stability through the lens of a novel graphical interpretation. Even though these conjectures are false in the general case, such a graphical interpretation suggests natural ways to introduce additional conditions in order to obtain valid absolute stability criteria. As an illustration, the article proves a new absolute stability criterion obtained by the iterative application of a variation of the circle criterion.

Original language	English (US)
Title of host publication	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	523-528
Number of pages	6
ISBN (Electronic)	9781509028733
DOIs	https://doi.org/10.1109/CDC.2017.8263717
State	Published - Jan 18 2018
Event	56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia Duration: Dec 12 2017 → Dec 15 2017

Publication series

Name	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Volume	2018-January

Other

Other	56th IEEE Annual Conference on Decision and Control, CDC 2017
Country	Australia
City	Melbourne
Period	12/12/17 → 12/15/17

Access

10.1109/CDC.2017.8263717

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Cite this

Naderi, T., Materassi, D., Innocenti, G., Genesio, R., & Salapaka, M. V. (2018). Revisiting Kalman and Aizerman conjectures. In 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 (pp. 523-528). (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2017.8263717

Revisiting Kalman and Aizerman conjectures. / Naderi, Taher; Materassi, Donatello; Innocenti, Giacomo; Genesio, Roberto; Salapaka, Murti V.

2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Institute of Electrical and Electronics Engineers Inc., 2018. p. 523-528 (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; Vol. 2018-January).

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

Naderi, T, Materassi, D, Innocenti, G, Genesio, R & Salapaka, MV 2018, Revisiting Kalman and Aizerman conjectures. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017, vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 523-528, 56th IEEE Annual Conference on Decision and Control, CDC 2017, Melbourne, Australia, 12/12/17. https://doi.org/10.1109/CDC.2017.8263717

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