Application of the Localization Method to Stability Analysis and Construction of Lyapunov Functions * *This work was supported by the Ministry of Education and Science of the Russian Federation (project Scientific Research Organization no. 1.4769.2017/VU) and by the Russian Foundation of Basic Research (projects 16-07-00927 and 15-07-06484).-Reference-Cited by-同舟云学术

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Application of the Localization Method to Stability Analysis and Construction of Lyapunov Functions * *This work was supported by the Ministry of Education and Science of the Russian Federation (project Scientific Research Organization no. 1.4769.2017/VU) and by the Russian Foundation of Basic Research (projects 16-07-00927 and 15-07-06484).

Published:2017-07 Issue:1 Volume:50 Page:7475-7480
ISSN:2405-8963
Container-title:IFAC-PapersOnLine
language:en
Short-container-title:IFAC-PapersOnLine

Author:

Krishchenko Alexander P.,Golubev Alexey E.

Publisher

Elsevier BV

Subject

Control and Systems Engineering

Reference24 articles.

1. Linear programming based Lyapunov function computation for differential inclusions Discrete Contin;Baier;Dyn. Syst. Ser. B,2012

2. Construction of global Lyapunov functions using radial basis functions;Giesl,2007

3. Existence of piecewise affine Lyapunov functions in two dimensions;Giesl;Journal of Mathematical Analysis and Applications,2010

4. Construction of Lyapunov functions for nonlinear planar systems by linear programming;Giesl;Journal of Mathematical Analysis and Applications,2012

5. Hafstein, S., Kellett, C.M., Li, H. (2014). Continuous and piecewise affine Lyapunov functions using the Yoshizawa construction. Proceedings of 2014 American Control Conference, 548-563.

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