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.
Original language | English (US) |
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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 - 2019 |
Externally published | Yes |
Bibliographical note
Funding Information:Manuscript received April 12, 2017; revised November 16, 2017; accepted March 22, 2018. Date of publication June 21, 2018; date of current version January 28, 2019. This work was partially supported by ARPA-E NODES. Recommended by Associate Editor C. M. Kellet. (Corresponding author: Taher Naderi.) T. Naderi and D. Materassi are with the Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN 37996, USA (email: tnaderi@utk.edu; dmateras@utk.edu).
Publisher Copyright:
© 1963-2012 IEEE.
Keywords
- Nonlinear control
- optimization
- robust control