Output details
15 - General Engineering
University of Oxford
Article title
A converse sum of squares Lyapunov result with a degree bound
Type
D - Journal article
Title of journal
IEEE Transactions on Automatic Control
Article number
6194280
Volume number
57
Issue number
9
First page of article
2281
ISSN of journal
0018-9286
Year of publication
2012
URL
-
Number of additional authors
1
Additional information
Prior to the publication of this paper it was not clear whether the Sum of Squares approach to nonlinear systems analysis, towards the development of which AP had significant contributions, would work for all systems. This paper was the first to show that any system possessing an exponentially stable equilibrium point will admit a Sum of Squares Lyapunov function, thus showing that the class of systems that can be treated using Sum of Squares is extremely large, demonstrating the expended impact of Sum of Squares in nonlinear systems analysis.
Interdisciplinary
-
Cross-referral requested
-
Research group
D - Information, Vision and Control
Proposed double-weighted
No
Double-weighted statement
-
Reserve for a double-weighted output
No
Non-English
No
English abstract
-
