标题： 基于非线性观测器的混沌同步及其在密码学中的应用 显示英文标题

标题： Chaos Synchronization using Nonlinear Observers with applications to Cryptography

摘要： 本文综述性论文的目标是介绍利用非线性观测器实现混沌同步及其在密码学中的应用。 首先我概述了密码学。 然后，我回顾了混沌理论的基础知识以及如何利用混沌系统进行加密，并介绍了混沌同步问题。 接着，我介绍了用于混沌系统同步的非线性观测器理论。 首先解释了可观测性问题。 然后，我引入了一些经典的观测器：卡尔曼滤波器、Luenberger 观测器、扩展卡尔曼滤波器、Thau 观测器和高增益观测器。 最后，我介绍了更高级的观测器：自适应观测器、未知输入观测器、滑模观测器和ANFIS（自适应神经模糊推理系统）观测器。 显示英文摘要

摘要： The goal of this survey paper is to provide an introduction to chaos synchronization using nonlinear observers and its applications in cryptography. I start with an overview of cryptography. Then, I recall the basics of chaos theory and how to use chaotic systems for cryptography, with an introduction to the problem of chaos synchronization. Then, I present the theory of non-linear observers, which is used for the synchronization of chaotic systems. I start with an explanation of the observability problem. Then, I introduce some of the classical observers: Kalman filter, Luenberger observer, Extended Kalman filter, Thau's observer, and High gain observer. I finish by introducing the more advanced observers: Adaptive observers, Unknown inputs observers, Sliding mode observers and ANFIS (Adaptive Neuro-Fuzzy Inference Systems) observers.