Revisiting Kalman and Aizerman Conjectures via a Graphical Interpretation

Taher Naderi; Donatello Materassi; Giacomo Innocenti; Roberto Genesio

doi:10.1109/TAC.2018.2849597

Revisiting Kalman and Aizerman Conjectures via a Graphical Interpretation

Taher Naderi, Donatello Materassi, Giacomo Innocenti, Roberto Genesio

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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

Original language	English (US)
Article number	8392461
Pages (from-to)	670-682
Number of pages	13
Journal	IEEE Transactions on Automatic Control
Volume	64
Issue number	2
DOIs	https://doi.org/10.1109/TAC.2018.2849597
State	Published - Jan 1 2019
Externally published	Yes

Keywords

Nonlinear control
optimization
robust control

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