𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The notion of V-detectability and stabilization of invariant sets of nonlinear systems

✍ Scribed by A.S. Shiriaev

Book ID
104301368
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
126 KB
Volume
39
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

The problem of global (local) stabilizability of an invariant set of passive nonlinear controlled system is considered. New notion of detectability of the zero value set of a storage function is introduced. It is shown that this property plays a fundamental role in solving of invariant set stabilization problems and in deΓΏning the global (local) stabilizing regulator. Su cient conditions, implying that passive nonlinear system has a detectable zero value set for a smooth storage function, are proposed.

πŸ“œ SIMILAR VOLUMES

Stabilization of invariant sets for nonl
Stabilization of invariant sets for nonlinear non-affine systems
✍ Anton S. Shiriaev; Alexander L. Fradkov πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 147 KB

The problem of the global and local stabilization of invariant sets for general nonlinear controlled systems is considered. New state feedback stabilizing controllers and su$cient conditions of asymptotic stability of a goal set with the speci"ed region of attraction are proposed. The proofs of the