论文标题
时间延迟系统的ISS框架：调查
The ISS framework for time-delay systems: a survey
论文作者
论文摘要
在Eduardo D. Sontag的70岁生日之际，我们在这里概述了用于研究输入到国家稳定性的工具（ISS）及相关概念的时间延期系统。在对有限维理论的主要差异进行了教学介绍之后，我们回顾了无输入时间延迟系统的基本稳定性概念，以及在实践中保证它们的工具，包括Lyapunov-Krasososvkii，包括Lyapunov-razumikhin，包括Lyapunov-Krasososvkii，以及Haranay和Haranay接近。然后，我们通过ISS，ISS AltaleAl ISS和输入到输出稳定性的概念来考虑输入的影响，并提供这些属性的类似Lyapunov和基于解决方案的特征。我们还展示了这些概念如何有助于对互连系统的稳定性分析，无论是在级联还是反馈形式中。我们最终提供了迄今为止保持开放的问题的清单。
At the occasion of Eduardo D. Sontag's 70 th birthday, we provide here an overview of the tools available to study input-to-state stability (ISS) and related notions for time-delay systems. After a hopefully pedagogical presentation of the main differences with respect to the finite-dimensional theory, we review basic stability concepts for input-free time-delay systems, as well as instruments to guarantee them in practice, including the Lyapunov-Krasosvkii, Lyapunov-Razumikhin, and Halanay approaches. We then consider the influence of inputs through the notions of ISS, integral ISS, and input-to-output stability and provide both Lyapunov-like and solutions-based characterizations of these properties. We also show how these notions can be helpful for the stability analysis of interconnected systems, whether in cascade or in feedback form. We finally provide a list of questions which remain open until now.
