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Abstract: This paper de- scribes an algorithm that either finds a quadratic Lyapunov function or terminates with a proof that no quadratic Lyapunov function exists. The algorithm is an interior-point method based on the theory developed by Nesterov and Nemirovsky [2] (Update)
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BibTeX entry: (Update)
L. VANDENBERGHE and S. BOYD. A polynomial-time algorithm for determining quadratic Lyapunov functions for nonlinear systems. In Eur. Conf. Circuit Th. and Design, pages 1065--1068, 1993. http://citeseer.ist.psu.edu/vandenberghe93polynomialtime.html More
@article{ vandenberghe93polynomialtime,
author = "L. Vandenberghe and S. Boyd",
title = "A polynomial--time algorithm for determining quadratic {Lyapunov} functions for nonlinear systems",
journal = "Proceedings of the European Conference on Circuit Theory and Design",
pages = "1065--1068",
year = "1993",
url = "citeseer.ist.psu.edu/vandenberghe93polynomialtime.html" }
Citations (may not include all citations):448 A new polynomial-time algorithm for linear programming (context) - Karmarkar - 1984
104 LSQR: An algorithm for sparse linear equations and sparse li.. (context) - Paige, Saunders - 1982
90 Primal-dual potential reduction method for problems involvin.. - Vandenberghe, Boyd - 1993
17 Structured and simultaneous Lyapunov functions for system st.. - Boyd, Yang - 1989
1 nomial methods in convex programming: Theor (context) - Nesterov, Nemirovsky et al. - 1993
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