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Survey and Review
SIAM Review ( IF 10.8 ) Pub Date : 2020-08-06 , DOI: 10.1137/20n97504x J. M. Sanz-Serna
SIAM Review ( IF 10.8 ) Pub Date : 2020-08-06 , DOI: 10.1137/20n97504x J. M. Sanz-Serna
SIAM Review, Volume 62, Issue 3, Page 527-527, January 2020.
Andrii Mirochenko and Christophe Prieur are the authors of “Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions,” the Survey and Review paper in this issue of SIAM Review. Introduced in the late 1980s by E. Sontag, the notion of input-to-state stability (ISS) revolutionized the control theory of finite-dimensional systems. The ISS framework has provided a range of powerful tools that, for instance, make it possible to study networks of large numbers of components and develop approaches that are robust against disturbances due to measurement or modeling errors, hidden dynamics, external disturbances, etc. On the other hand, many problems of current interest (fluid-structure interactions, aircraft wings, flexible elements in multibody systems, etc.) require the control of systems described by partial differential equations, delay differential equations, and other models where the state space is infinite-dimensional. The aim of this survey is to describe the application of ISS to such infinite-dimensional problems. The paper starts by presenting an abstract framework that allows for a unified treatment of a wide variety of techniques and problems. Sections 5--8 are more applied and successively consider systems of parabolic or hyperbolic partial differential equations, systems built up from interconnected components, and systems with delays. The long list of references and open problems will make the survey valuable for people working in this area. In addition, by reading the paper, many colleagues will acquaint themselves with modern tools in control theory and a raft of problems of current interest that require the control of infinite-dimensional systems.
中文翻译：
调查和审查
SIAM评论，第62卷，第3期，第527-527页，2020年1月。
Andrii Mirochenko和Christophe Prieur是“无量纲系统的输入到状态稳定性：最新结果和未解决的问题”的作者，这是本期《 SIAM评论》中的调查和评论论文。输入状态稳定性（ISS）由E. Sontag于1980年代后期引入，彻底改变了有限维系统的控制理论。ISS框架提供了一系列强大的工具，例如，它使得研究大量组件的网络并开发出对由于测量或建模错误，隐藏的动力学，外部干扰等引起的干扰具有鲁棒性的方法成为可能。另一方面，当前感兴趣的许多问题（流体-结构相互作用，飞机机翼，多体系统中的柔性元件等）。）要求控制由偏微分方程，时滞微分方程和其他状态空间为无穷大模型的系统。这项调查的目的是描述ISS在此类无限维问题中的应用。本文首先介绍了一个抽象框架，该框架允许对各种技术和问题进行统一处理。第5--8节的适用范围更大，并依次考虑了抛物线或双曲型偏微分方程组，由相互连接的组件构成的系统以及带时滞的系统。一长串的参考资料和未解决的问题将使该调查对于在该领域工作的人来说非常有价值。另外，通过阅读论文，
更新日期：2020-08-06
Andrii Mirochenko and Christophe Prieur are the authors of “Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions,” the Survey and Review paper in this issue of SIAM Review. Introduced in the late 1980s by E. Sontag, the notion of input-to-state stability (ISS) revolutionized the control theory of finite-dimensional systems. The ISS framework has provided a range of powerful tools that, for instance, make it possible to study networks of large numbers of components and develop approaches that are robust against disturbances due to measurement or modeling errors, hidden dynamics, external disturbances, etc. On the other hand, many problems of current interest (fluid-structure interactions, aircraft wings, flexible elements in multibody systems, etc.) require the control of systems described by partial differential equations, delay differential equations, and other models where the state space is infinite-dimensional. The aim of this survey is to describe the application of ISS to such infinite-dimensional problems. The paper starts by presenting an abstract framework that allows for a unified treatment of a wide variety of techniques and problems. Sections 5--8 are more applied and successively consider systems of parabolic or hyperbolic partial differential equations, systems built up from interconnected components, and systems with delays. The long list of references and open problems will make the survey valuable for people working in this area. In addition, by reading the paper, many colleagues will acquaint themselves with modern tools in control theory and a raft of problems of current interest that require the control of infinite-dimensional systems.
中文翻译：
调查和审查
SIAM评论，第62卷，第3期，第527-527页，2020年1月。
Andrii Mirochenko和Christophe Prieur是“无量纲系统的输入到状态稳定性：最新结果和未解决的问题”的作者，这是本期《 SIAM评论》中的调查和评论论文。输入状态稳定性（ISS）由E. Sontag于1980年代后期引入，彻底改变了有限维系统的控制理论。ISS框架提供了一系列强大的工具，例如，它使得研究大量组件的网络并开发出对由于测量或建模错误，隐藏的动力学，外部干扰等引起的干扰具有鲁棒性的方法成为可能。另一方面，当前感兴趣的许多问题（流体-结构相互作用，飞机机翼，多体系统中的柔性元件等）。）要求控制由偏微分方程，时滞微分方程和其他状态空间为无穷大模型的系统。这项调查的目的是描述ISS在此类无限维问题中的应用。本文首先介绍了一个抽象框架，该框架允许对各种技术和问题进行统一处理。第5--8节的适用范围更大，并依次考虑了抛物线或双曲型偏微分方程组，由相互连接的组件构成的系统以及带时滞的系统。一长串的参考资料和未解决的问题将使该调查对于在该领域工作的人来说非常有价值。另外，通过阅读论文，
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