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Weak Converse Lyapunov Theorems and Control-Lyapunov Functions

✍ Scribed by Kellett, Christopher M.; Teel, Andrew R.

Book ID
118207887
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
290 KB
Volume
42
Category
Article
ISSN
0363-0129

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πŸ“œ SIMILAR VOLUMES

Weak attractors from Lyapunov functions
Weak attractors from Lyapunov functions
✍ Mike Hurley πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 97 KB

References (Hurley, 1991(Hurley, , 1992(Hurley, , 1998) ) show that if a continuous map f on a metric space X has a "weak attractor", A, then there is an associated Lyapunov function, h, which is a continuous, nonnegative, real-valued map whose zero set is A, and satisfying h β€’ fh < 0 on a certain d