动力系统的反脆弱性概念
动力系统
2024-11-12 v2 混沌动力学
摘要
本文将动力系统的反脆弱性定义为新引入的“对数速率”的凸性。它展示了如何为正线性系统计算该速率，并基于脉冲交替极端策略与平均均匀策略的比较来诠释反脆弱性。
引用
@article{arxiv.2410.17953,
title = {A concept of antifragility for dynamical systems},
author = {Eduardo D. Sontag},
journal= {arXiv preprint arXiv:2410.17953},
year = {2024}
}
备注
Changed definition to use "limsup" and hence apply when limit doesn't exist. Also allowing now possible dependence on initial state. Slightly modified def of antifragile to make clear distinction between reward or cost problem. Minor typos and rewordings. No change in any mathematical result