The Resource Mathematical Control Theory : An Introduction, by Jerzy Zabczyk, (electronic resource)
Mathematical Control Theory : An Introduction, by Jerzy Zabczyk, (electronic resource)
Resource Information
The item Mathematical Control Theory : An Introduction, by Jerzy Zabczyk, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Mathematical Control Theory : An Introduction, by Jerzy Zabczyk, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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 selfstudy 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. GianCarlo 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 onesemester 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
 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. InfiniteDimensional 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
 Label
 Mathematical Control Theory : An Introduction
 Title
 Mathematical Control Theory
 Title remainder
 An Introduction
 Statement of responsibility
 by Jerzy Zabczyk
 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 selfstudy 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. GianCarlo 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 onesemester 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.
 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)
 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. InfiniteDimensional 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
 9783030447786
 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)
 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. InfiniteDimensional 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
 9783030447786
 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
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