Mathematical control theory : an introduction
著者
書誌事項
Mathematical control theory : an introduction
(Systems & control)
Birkhäuser , Springer, c2020
2nd ed
大学図書館所蔵 全3件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Previous ed: Birkhäuser Boston, c2008
Includes bibliographical references (p. 324-330) and index
内容説明・目次
内容説明
This textbook presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus.
In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems.
This second edition includes new chapters that introduce a variety of topics, such as controllability with vanishing energy, boundary control systems, and delayed systems. With additional proofs, theorems, results, and a substantially larger index, this new edition will be an invaluable resource for students and researchers of control theory.
Mathematical Control Theory: An Introduction will be ideal for a beginning graduate course in mathematical control theory, or for self-study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory.
From reviews of the first edition:
At last! We did need an introductory textbook on control which can be read, understood, and enjoyed by anyone. Gian-Carlo Rota, The Bulletin of Mathematics Books
It covers a remarkable number of topics...The exposition is excellent, and the book is a joy to read. A novel one-semester course covering both linear and nonlinear systems could be given...The book is an excellent one for introducing a mathematician to control theory. Bulletin of the AMS
Indeed, for mathematicians who look for the basic ideas or a general picture about the main branches of control theory, I believe this book can provide an excellent bridge to this area. IEEE Control Systems Magazine
目次
Preface.- Preface to the second edition.- Introduction.- Part I. Elements of Classical Control Theory.- Chapter 1. Controllability and Observability.- Chapter 2. Stability and Stabilizability.- Chapter 3. Controllability with Vanishing Energy.- Chapter 4. Systems with Constraints.- Chapter 5. Realization Theory.- Part II. Nonlinear Control Systems.- Chapter 6. Controllability and Observability of Nonlinear Systems.- Chapter 7. Stability and Stabilizability.- Chapter 8. Realization Theory.- Part III. Optimal Control.- Chapter 9. Dynamic Programming.- Chapter 10. Viscosity Solutions of Bellman Equations.- Chapter 11. Dynamic Programming for Impulse Control.- Chapter 12. The Maximum Principle.- Chapter 13. The Existence of Optimal Strategies.- Part IV. Infinite-Dimensional Linear Systems.- Chapter 14. Linear Control Systems.- Chapter 15. Controllability.- Chapter 16. Stability and Stabilizability.- Chapter 17. Linear Regulators in Hilbert Spaces.- Chapter 18. Boundary Control Systems.- Appendix.- References.- Notations.- Index.
「Nielsen BookData」 より