Mathematical control theory: an introduction. 2nd edition. (English) Zbl 1437.93001
Systems & Control: Foundations & Applications. Cham: Birkhäuser (ISBN 978-3-030-44776-2/hbk; 978-3-030-44778-6/ebook). xxvi, 336 p. (2020).
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.
This book 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.
See the review of the first edition in Zbl 1071.93500. For the corrected reprint of the first edition see [Zbl 1123.93003].
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.
This book 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.
See the review of the first edition in Zbl 1071.93500. For the corrected reprint of the first edition see [Zbl 1123.93003].
MSC:
| 93-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory |
| 93Bxx | Controllability, observability, and system structure |
| 49Kxx | Optimality conditions |
| 34H05 | Control problems involving ordinary differential equations |
| 47N70 | Applications of operator theory in systems, signals, circuits, and control theory |
