Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
Papers published on a yearly basis
Papers
More filters
Journal Article•
23 citations
01 Jan 1972
23 citations
TL;DR: The notion of non-uniform Robust Global Asymptotic Stability (RGAS) presented in this paper generalizes the notion of uniform in time RGAS for finiteor infinite-dimensional discrete-time systems to finitedimensional discrete- time systems obtained by time discretization of continuous-time Systems by the explicit Euler method.
Abstract: The notion of non-uniform Robust Global Asymptotic Stability (RGAS) presented in this paper generalizes the notion of non-uniform in time RGAS for finiteor infinite-dimensional discrete-time systems. Lyapunov characterizations for this stability notion are provided. The results are applied to finitedimensional discrete-time systems obtained by time discretization of continuous-time systems by the explicit Euler method.
23 citations
TL;DR: In this article, an asymptotic expansion for locally (at infinity) outgoing functions on Euclidian spaces is proved for N -body scattering where the two-body interactions are one-step polyhomogeneous symbols of order −1 or −2 (hence long-range and short-range respectively).
23 citations
TL;DR: In this paper, the authors derive asymptotic expansion of the probability distributions of statistics for systems perturbed by small noises by means of the Malliavin calculus, and apply it to the problem of the second order efficiency of the maximum likelihood estimator.
23 citations