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 | |
| State | Published - Jun 28 2017 |
| 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/Territory | Australia |
| City | Melbourne |
| Period | 12/12/17 → 12/15/17 |
Bibliographical note
Publisher Copyright:© 2017 IEEE.