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- Title
Some new results on the global uniform asymptotic stability of time-varying dynamical systems.
- Authors
Taieb, Nizar Hadj; Hammami, Mohamed Ali
- Abstract
This article presents some general results on the global uniform asymptotic stability (GUAS) of time-varying nonlinear perturbed systems without the boundedness hypothesis with respect to time. The main contribution is the development of a new Lyapunov function to obtain a GUAS of some perturbed systems. Therefore, we generalized some works which are already made in the literature. Furthermore, some illustrative examples are presented.
- Subjects
TIME-varying systems; LIPSCHITZ spaces; PERTURBATION theory; LYAPUNOV functions; INTEGRABLE functions; NONLINEAR systems
- Publication
IMA Journal of Mathematical Control & Information, 2018, Vol 35, Issue 3, p901
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnx006