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The Resource Mathematical Control Theory : An Introduction, by Jerzy Zabczyk, (electronic resource)

Mathematical Control Theory : An Introduction, by Jerzy Zabczyk, (electronic resource)

Creator
Summary
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.--
Language
eng
Work
Publication
Edition
2nd ed. 2020.
Extent
1 online resource (XXVI, 336 pages)
Contents
  • 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
Isbn
9783030447786
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-44778-6
Instance
Label
Mathematical Control Theory : An Introduction
Title
Mathematical Control Theory
Title remainder
An Introduction
Statement of responsibility
by Jerzy Zabczyk
Creator
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Zabczyk, Jerzy
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Systems & Control: Foundations & Applications,
  • Springer eBooks.
http://library.link/vocab/subjectName
  • System theory
  • Applied mathematics
  • Engineering mathematics
  • Calculus of variations
  • Control engineering
  • Robotics
  • Mechatronics
Label
Mathematical Control Theory : An Introduction, by Jerzy Zabczyk, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-44778-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-3-030-44778-6
Dimensions
unknown
Edition
2nd ed. 2020.
Extent
1 online resource (XXVI, 336 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030447786
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
5 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1176256427
Label
Mathematical Control Theory : An Introduction, by Jerzy Zabczyk, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-44778-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-3-030-44778-6
Dimensions
unknown
Edition
2nd ed. 2020.
Extent
1 online resource (XXVI, 336 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030447786
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
5 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1176256427

Subject

Member of

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