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 | |
State | Published - Jan 1 2019 |
Externally published | Yes |
Keywords
- Nonlinear control
- optimization
- robust control