Mathematical Control Theory : An Introduction. 2nd ed. 2020

種類:

電子ブック

責任表示:

by Jerzy Zabczyk

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2020

著者名:

• Zabczyk, Jerzy.
• SpringerLink (Online service)

シリーズ名:

Systems & Control: Foundations & Applications ;

ISBN:

9783030447786 [3030447782]    

注記:

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 -- A
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 Contr

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