Abstract
The goal of this paper is twofold. The first part presents a Lyapunov statement and proof of the concept of robust global practical exponential stability (RpGES) for nonlinear time varying systems. A RpGES-Lyapunov function for the overall system is exhibited. Its proof is a consequence of some results on converse Lyapunov theorems obtained by Tsinias in 19. The second part provides sufficient conditions for the robust practical globally uniformly asymptotically stability (RpGUAS).
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Hamed, B.B. On the Robust Practical Global Stability of Nonlinear Time-varying Systems. Mediterr. J. Math. 10, 1591–1608 (2013). https://doi.org/10.1007/s00009-012-0227-z
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DOI: https://doi.org/10.1007/s00009-012-0227-z