Lyapunov's Second Method for Random Dynamical Systems

By L. Arnold, B. Schmalfuβ. 2001

74 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4030c8c5dc76a85d7b69aa7d3670d58016845de8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Sigurdur Freyr Hafstein
2. Peter Giesl
3. Christopher M. Kellett

In Computational Theory and Mathematics

1. Sigurdur Freyr Hafstein
2. Peter Giesl
3. Christopher M. Kellett

In Control and Systems Engineering

1. Sigurdur Freyr Hafstein
2. Peter Giesl
3. Christopher M. Kellett

Citations in the corpus

• Classical Converse Theorems in Lyapunov's Second Method (2015, background): “153], discrete-time multivalued systems [108], [109], and random dynamical systems for asymptotic stability of random compact sets [7].”
• Review on computational methods for Lyapunov functions (2015, methodology): “Arnold and Schmalfuss 2001 [15] developed the theory of Lyapunov functions for random dynamical systems, including a converse theorem.”