Construction of Lyapunov Certificates for Partial Stability Problems Using Sum of Squares Techniques Conference Paper

abstract

• A methodology is proposed that allows for algorithmic construction of Lyapunov functions for problems concerning the stability of an equilibrium with respect to part of the variables. This methodology utilizes the previously developed sum of squares technique to determine Lyapunov certificates. Conditions for stability with respect to part of the variables are developed that allow for Lyapunov functions to be determined in terms of a sum of squares. Some examples are presented that highlight these new conditions. 2007 IEEE.

name of conference

• 2007 American Control Conference

authors

• Bhattacharya, Raktim

published proceedings

• Proceedings of the 2010 American Control Conference

author list (cited authors)

• Fisher, J., & Bhattacharya, R.

citation count

• 2

complete list of authors

• Fisher, James||Bhattacharya, Raktim

publication date

• July 2007

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

Digital Object Identifier (DOI)

• 10.1109/acc.2007.4282560

International Standard Book Number (ISBN) 10

• 1424409888

International Standard Book Number (ISBN) 13

• 9781424409884

start page

• 4823

end page

• 4828

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Facc.2007.4282560