Journal
AUTOMATICA
Volume 113, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2019.108758
Keywords
Stability; Nonlinear systems; Lyapunov functions
Funding
- NSF, USA [CMMI-1662708]
- AFOSR, USA [FA9550-17-1-0236]
- Simons Foundation, USA [278840]
Ask authors/readers for more resources
We study convergence of nonlinear systems in the presence of an almost Lyapunov function which, unlike the classical Lyapunov function, is allowed to be nondecreasing - and even increasing - on a nontrivial subset of the phase space. Under the assumption that the vector field is free of singular points (away from the origin) and that the subset where the Lyapunov function does not decrease is sufficiently small, we prove that solutions approach a small neighborhood of the origin. A nontrivial example where this theorem applies is constructed. (C) 2019 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available