控制中的集合理论方法 第2版 Set-Theoretic Methods in Control Franco Blanchini; Stefano Miani

基本信息

Series:Systems & Control: Foundations & Applications

Format:Paperback / softback 630 pages, 3 Tables, black and white; 18 Illustrations, color; 151 Illustrations, black and white; X

Publisher:Birkhauser Verlag AG

Imprint:Birkhauser Verlag AG

Edition:Softcover reprint of the original 2nd ed. 2015

ISBN:9783319330488

Published:15 Oct 2016

Dimensions:235 x 155 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

这本专著的第二版从理论和实践的角度描述了用于动态系统控制和分析的集合理论方法。这种方法与基本控制问题相联系，如李亚普诺夫稳定性分析和稳定化、优控制、约束条件下的控制、持续干扰抑制以及不确定系统分析和综合。本书完全自成体系，提供了坚实的数学技术和应用基础，广泛引用了相关文献，并为进一步的理论研究提供了许多途径。

一版的所有材料都已更新，以反映该领域的新发展，并增加了一个关于开关系统的新章节。每一章都包含实例、案例研究和练习，以便通过实际应用更好地理解理论概念。数学语言保持在充分表述和说明主要概念所需的低水平，但允许详细阐述用于解决拟议问题的数字算法。

控制中的集合理论方法将吸引控制工程和应用数学的研究人员和从业人员。它也很适合作为这些领域的研究生的教科书。

对一版的赞誉

"这是一本充满了新的想法的书，收集了许多与集合理论方法有关的不同材料。可以推荐给广大控制界的读者"。

- B.T. Polyak, 数学评论

"这本书是控制领域新研究趋势的一部杰出专著。它反映了作者的丰富经验以及他们对该领域发展的明显贡献......[它]强烈推荐给从事控制工程或应用数学的博士生和研究人员。这些材料也可用于这些领域的研究生课程"。

- Octavian Pastravanu, Zentralblatt MATH

The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study.

All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added. Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems.

Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics. It is also well-suited as a textbook for graduate students in these areas.

Praise for the First Edition

"This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience."

- B. T. Polyak, Mathematical Reviews

"This book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas."

- Octavian Pastravanu, Zentralblatt MATH

目录

Preface.

- Introduction.

- Lyapunov and Lyapunov-like Function.

- Convex Sets and Their Representation.

- Invariant Sets.- Dynamic Programming.

- Set-Theoretic Analysis of Dynamic Systems.

- Control of Parameter-Varying Systems.

- Control with Time-Domain Constraints.

- Switching and Switched Systems.

- (Sub-)Optimal Control.

- Set-Theoretic Estimation.

- Related Topics.

- Appendix.

- References.

- Index.

作者简介

Francio Blanchini是意大利乌迪内大学数学和计算机科学系的教授。

Stefano Miani是意大利乌迪内大学电气、管理和机械工程系的副教授。

Francio Blanchini is a Professor in the Department of Mathematics and Computer Science at the University of Udine, Italy.

Stefano Miani is an Associate Professor in the Department of Electrical, Management, and Mechanical Engineering at the University of Udine, Italy.