Construction of Lyapunov functions for the estimation of basins of attraction

Author:

Spelsberg-Korspeter G.1,Hochlenert D.2,Heffel E.,Wagner A.,Hagedorn P.1,Sampaio R.3

Affiliation:

1. TU Darmstadt, Germany

2. TU Berlin, Germany

3. PUC-Rio, Brazil

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,General Engineering,Aerospace Engineering,Automotive Engineering,Industrial and Manufacturing Engineering,Applied Mathematics

Reference10 articles.

1. "Construction of a finite-time Lyapunov function by Meshless Collocation'';Giesl P.;Discrete and Continuous Dynamical Systems Series B,2012

2. "On the determination of the basin of attraction of discrete dynamical systems'';Giesl P.;Journal of Difference Equations and Applications,2007

3. Lecture Notes in Mathematics 1904;Giesl P.,2007

4. "Normalformen und Einzugsbereiche nichtlinearer dynamischer Systeme'';Hochlenert D.,2012

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Lie transform approach to the construction of Lyapunov functions in autonomous and non-autonomous systems;Journal of Mathematical Physics;2019-08

2. Memristive oscillator based on Chua’s circuit: stability analysis and hidden dynamics;Nonlinear Dynamics;2017-02-20

3. Special Issue 2: Uncertainties 2012;Journal of the Brazilian Society of Mechanical Sciences and Engineering;2012

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