Mathematical Systems Theory II: Control, Observation, Realization, and Feedback
暫譯: 數學系統理論 II：控制、觀測、實現與回饋

Hinrichsen, Diederich, Pritchard, Anthony J., Colonius, Fritz

Mathematical Systems Theory II: Control, Observation, Realization, and Feedback
  • 出版商: Springer
  • 出版日期: 2026-01-23
  • 售價: $4,230
  • 貴賓價: 9.8 折 $4,145
  • 語言: 英文
  • 頁數: 849
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032083192
  • ISBN-13: 9783032083197
  • 相關分類: 控制系統 Control-systems

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This is the second volume of a three-volume treatise which presents the mathematical foundations of systems and control theory in a self-contained, comprehensive, detailed and mathematically rigorous way. The work combines the features of a detailed introductory textbook with those of a reference source.

Volume II concentrates on problems of control, measurement and feedback control for time-varying and time-invariant linear systems. Special features are:

- a comprehensive treatment of controllability and observability

- an analysis of reachable sets under bounded controls with applications to the time-optimal control problem

- a detailed construction of canonical forms for controllable systems under similarity transformations, including an application of these forms to the topological analysis of system spaces

- a new module-theoretic approach to Rosenbrock systems in time domain

- an introduction to balancing and model reduction by balanced truncation

- an introduction to a general feedback control theory of input-output systems

- a detailed treatment of stabilization and observation problems for time-invariant linear systems

- a self-contained proof of Rosenbrock's theorem by state space methods.

Throughout the book there are many examples, figures and exercises illustrating the text which help bring out the intuitive ideas behind the mathematical constructions. The book should be accessible to mathematics students after two years of study and also to engineering students with a good mathematical background. It will be of value for researchers in systems theory as well as for mathematicians and engineers who wish to learn about the mathematical foundations of the above topics.

商品描述(中文翻譯)

這是三卷本論文的第二卷，該論文以自足、全面、詳細且數學上嚴謹的方式呈現系統與控制理論的數學基礎。這部作品結合了詳細入門教科書的特點與參考資料的特性。

第二卷專注於時間變化和時間不變線性系統的控制、測量和反饋控制問題。其特點包括：

- 對可控性和可觀性的全面處理
- 在有界控制下可達集的分析，並應用於時間最優控制問題
- 在相似變換下對可控系統的典範形式進行詳細構造，包括這些形式在系統空間拓撲分析中的應用
- 對時間域中Rosenbrock系統的新模塊理論方法
- 介紹通過平衡截斷進行平衡和模型降維
- 介紹輸入-輸出系統的一般反饋控制理論
- 對時間不變線性系統的穩定化和觀測問題進行詳細處理
- 通過狀態空間方法對Rosenbrock定理進行自足的證明。

全書中有許多例子、圖形和練習題，幫助闡明數學構造背後的直觀思想。這本書應該對學習兩年數學的學生以及具有良好數學背景的工程學生是可及的。對於系統理論的研究人員以及希望了解上述主題數學基礎的數學家和工程師來說，這本書將具有價值。

作者簡介

Diederich Hinrichsen is a retired Professor of Mathematical Systems Theory at the University of Bremen.

Anthony J. Pritchard (+ 2007) was Professor of Mathematics and founder and director of the Control Theory Centre at the University of Warwick.

Fritz Colonius is a retired Professor of Applied Mathematics at the University of Augsburg. His main research interest is the interplay of control theory and dynamical systems theory.

Tobias Damm is Professor for Systems and Control Theory at RPTU University Kaiserslautern-Landau. His research interests include linear algebra and numerical analysis and the application of these to control theory.

Achim Ilchmann held a chair in Applied Mathematics at the Technical University of Ilmenau until his retirement in 2022. His research interests include the algebraic theory of time-varying linear systems, adaptive control, and Baroque architecture.

Birgit Jacob has been with the University of Wuppertal, Germany, since 2010, where she is a full professor in analysis. Her current research interests include the area of infinite-dimensional systems and operator theory, particularly well-posed linear systems and port-Hamiltonian systems.

Fabian R. Wirth is Professor for Dynamical Systems at the University of Passau. His research interests include stability theory, switched systems, infinite-dimensional and large-scale systems.

作者簡介(中文翻譯)

迪德里希·欣里克森（Diederich Hinrichsen）是不來梅大學（University of Bremen）退休的數學系統理論教授。安東尼·J·普里查德（Anthony J. Pritchard，2007年逝世）曾任華威大學（University of Warwick）數學教授及控制理論中心的創始人和主任。弗里茨·科洛尼烏斯（Fritz Colonius）是奧格斯堡大學（University of Augsburg）退休的應用數學教授。他的主要研究興趣是控制理論與動態系統理論之間的相互作用。托比亞斯·達姆（Tobias Damm）是凱瑟斯勞滕-蘭道應用科技大學（RPTU University Kaiserslautern-Landau）系統與控制理論教授。他的研究興趣包括線性代數和數值分析，以及這些在控制理論中的應用。阿希姆·伊爾赫曼（Achim Ilchmann）在伊爾梅瑙科技大學（Technical University of Ilmenau）擔任應用數學教授，直到2022年退休。他的研究興趣包括時間變化線性系統的代數理論、自適應控制和巴洛克建築。比爾吉特·雅各布（Birgit Jacob）自2010年以來一直在德國伍珀塔爾大學（University of Wuppertal）任教，現為分析學的全職教授。她目前的研究興趣包括無限維系統和算子理論，特別是良定義的線性系統和端口哈密頓系統。法比安·R·維爾斯（Fabian R. Wirth）是帕紹大學（University of Passau）動態系統教授。他的研究興趣包括穩定性理論、切換系統、無限維系統和大規模系統。

類似商品