Mathematical control theory : an introduction

書誌事項

Mathematical control theory : an introduction

Jerzy Zabczyk

(Modern Birkhäuser classics)

Birkhäuser, c2008

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注記

Includes bibliographical references and index

"Reprint of the 1995 edition"

"(C)1992 Birkhäuser Boston . 1995 second printing, with corr."--T.p. verso

内容説明・目次

内容説明

Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. 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. "Covers a remarkable number of topics....The book presents a large amount of material very well, and its use is highly recommended." --Bulletin of the AMS

目次

Preface.- Introduction.- Part I. Elements of classical control theory.- Controllability and observability.- Stability and stabilizability.- Realization theory.- Systems with constraints.- Part II. Nonlinear control systems.- Controllability and observability of nonlinear systems.- Stability and stabilizability.- Realization theory.- Part III. Optimal control.- Dynamic programming.- Dynamic programming for impulse control.- The maximum principle.- The existence of optimal strategies.- Part IV. Infinite dimensional linear systems.- Linear control systems.- Controllability.- Stability and stabilizability.- Linear regulators in Hilbert spaces.- Appendix.- Metric spaces.- Banach spaces.- Hilbert spaces.- Bochner's integral.- Spaces of continuous functions.- Spaces of measurable functions.- References.- Notations.- Index

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詳細情報

  • NII書誌ID(NCID)
    BA85208739
  • ISBN
    • 9780817647322
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Boston
  • ページ数/冊数
    viii, 260 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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