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Regularity of Liapunov functions for stable systems

✍ Scribed by Andrea Bacciotti; Lionel Rosier

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
106 KB
Volume
41
Category
Article
ISSN
0167-6911

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✦ Synopsis

We consider the problem of characterizing those systems which admit (weak) Liapunov functions with nice analytic properties. Our investigation gives a rather complete picture of the situation for the one-dimensional case.

πŸ“œ SIMILAR VOLUMES

Invariants and Liapunov functions for no
Invariants and Liapunov functions for nonautonomous systems
✍ T. Nesemann πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 408 KB

If for a difference equation no stability theorem applies, it is necessary to examine this difference equation directly. For many equations, however, it is neither obvious whether solutions are bounded or stable, nor is it trivial to prove such behavior. A useful way to prove boundedness is to find