- Title
- Classical converse theorems in Lyapunov's second method
- Creator
- Kellett, Christopher M.
- Relation
- Discrete and Continuous Dynamical Systems: Series B Vol. 20, Issue 8, p. 2333-2360
- Publisher Link
- http://dx.doi.org/10.3934/dcdsb.2015.20.2333
- Publisher
- AIMS Press
- Resource Type
- journal article
- Date
- 2015
- Description
- Lyapunov's second or direct method is one of the most widely used techniques for investigating stability properties of dynamical systems. This technique makes use of an auxiliary function, called a Lyapunov function, to ascertain stability properties for a specific system without the need to generate system solutions. An important question is the converse or reversability of Lyapunov's second method; i.e., given a specific stability property does there exist an appropriate Lyapunov function? We survey some of the available answers to this question.
- Subject
- Lyapunov; second method; dynamical systems; equations
- Identifier
- http://hdl.handle.net/1959.13/1305194
- Identifier
- uon:20996
- Identifier
- ISSN:1531-3492
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Publisher version (open access) | 456 KB | Adobe Acrobat PDF | View Details Download |