书目名称 | Set-Theoretic Methods in Control | 编辑 | Franco Blanchini,Stefano Miani | 视频video | | 概述 | A self-contained monograph focused on the area of set-theoretic methods for control, which has recently seen a resurgence of interest.Several established and potentially new applications are presented | 丛书名称 | Systems & Control: Foundations & Applications | 图书封面 |  | 描述 | Many control problems can be naturally formulated, analyzed, and solved in a set-theoretic context. Sets appear naturally when three aspects, which are crucial in control systems design, are considered: constraints, uncertainties, anddesignspeci?cations.Furthermore,setsarethemostappropriatelanguage to specify severalsystem performances, for instance when we areinterested in determining the domain of attraction, in measuring the e?ect of a persistent noise in a feedback loop or in bounding the error of an estimation algorithm. From a conceptual point of view, the peculiarity of the material presented in this book lies in the fact that sets are not only terms of the formulation, but they play an active role in the solution of the problems as well. Generally speaking, in the control theory context, all the techniques which are theore- cally based on some properties of subsets of the state-space could be referred to as set-theoretic methods. The most popular and clear link is that with Lyapunov theory and positive invariance. Lyapunov functions are positi- de?nite energy-type functions of the state variables, which have the property of being decreasing in time and are fundamental tools | 出版日期 | Book 20081st edition | 关键词 | Lyapunov stability; Optimal control; algorithm; algorithms; calculus; control under constraints; convex se | 版次 | 1 | doi | https://doi.org/10.1007/978-0-8176-4606-6 | isbn_ebook | 978-0-8176-4606-6Series ISSN 2324-9749 Series E-ISSN 2324-9757 | issn_series | 2324-9749 | copyright | Birkhäuser Boston 2008 |
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