Abstract
Stability of differential inclusions defined by locally Lipzchitz compact valued mappings is considered. It is shown that if such a differential inclusion is globally asymptotically stable, then, in fact, it is uniformly globally asymptotically stable (with respect to initial states in compacts). This statement is trivial for differential equations, but here we provide the extension to compact- (not necessarily convex-) valued differential inclusions. The main result is presented in a context which is useful for control-theoretic applications: a differential inclusion with two outputs is considered, and the result applies to the property of global error detectability.
| Original language | American English |
|---|---|
| Pages (from-to) | 391-412 |
| Number of pages | 22 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2004 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Algebra and Number Theory
- Numerical Analysis
- Control and Optimization
Keywords
- Control systems
- Differential inclusions
- Partial detectability
- Stability
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