Stability and Stabilization of Nonlinear Systems
1st Edition
Published on 3. April 2011
Book
Hardback
XX, 388 pages
978-0-85729-512-5 (ISBN)
Description
Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systems with delays and sampled-data systems; approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; and new tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory's importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.
Reviews / Votes
From the reviews:
"The book is presented in a logical order and is self-contained. . Each chapter contains a section with bibliographical and historical notes . and each closes with a comprehensive list of references . . Overall, for a graduate student of systems and control this book will provide an in-depth course on a general theory of nonlinear control systems with many references to further literature and an indication of open research problems. As a reference text, this book will certainly also be useful to control researchers." (Björn S. Rüffer, Mathematical Reviews, Issue 2012 d)
"In this research monograph, the authors give an account of the results on stability and stabilizability which have been obtained over the last years. They do this for a large class of systems. Their class of systems include nonlinear ordinary differential equations, but also nonlinear difference equations, and nonlinear delay differential equations. . The book gives a clear account of the theory up to today." (Hans Zwart, Zentralblatt MATH, Vol. 1243, 2012)
More details
Series
Language
English
Place of publication
London
United Kingdom
Target group
Professional and scholarly
Research
Illustrations
XX, 388 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 27 mm
Weight
776 gr
ISBN-13
978-0-85729-512-5 (9780857295125)
DOI
10.1007/978-0-85729-513-2
Schweitzer Classification
Other editions
Additional editions
Iasson Karafyllis | Zhong-Ping Jiang
Stability and Stabilization of Nonlinear Systems
Book
05/2013
Springer
€160.49
Shipment within 15-20 days
Iasson Karafyllis | Zhong-Ping Jiang
Stability and Stabilization of Nonlinear Systems
E-Book
04/2011
1st Edition
Springer
€149.79
Available for download
Persons
Iasson Karafyllis is an Associate Professor in the Department of Mathematics, NTUA, Greece. He is a coauthor (with Z.-P. Jiang) of the book Stability and Stabilization of Nonlinear Systems, Springer-Verlag London (Series: Communications and Control Engineering), 2011 and a coauthor (with M. Krstic) of the book Predictor Feedback for Delay Systems: Implementations and Approximations, Birkhäuser, Boston (Series: Mathematics, Systems & Control: Foundations & Applications), 2017. Since 2013 he is an Associate Editor for the International Journal of Control and for the IMA Journal of Mathematical Control and Information. His research interests include mathematical control theory and nonlinear systems theory.
Miroslav Krstic is Distinguished Professor, Alspach endowed chair, founding director of the Cymer Center for Control Systems and Dynamics, and Senior Associate Vice Chancellor for Research at UC San Diego. Krstic is Fellow of IEEE, IFAC, ASME, SIAM, AAAS, and IET (UK), Associate Fellow of AIAA, and foreign member of the Academy of Engineering of Serbia. He has received ASME Oldenburger Medal, ASME Nyquist Lecture Prize, ASME Paynter Outstanding Investigator Award, the PECASE, NSF Career, and ONR Young Investigator awards, the Axelby and Schuck paper prizes, the Chestnut textbook prize, and the first UCSD Research Award given to an engineer. Krstic has also been awarded the Distinguished Visiting Fellowship of the Royal Academy of Engineering and Invitation Fellowship of the Japan Society for the Promotion of Science. Krstic has coauthored twelve books on adaptive, nonlinear, and stochastic control, extremum seeking, control of PDE systems including turbulent flows, and control of delay systems.
Content
Introduction to Control Systems.- Internal Stability Notions and Characterizations.- Converse Lyapunov Results.- External Stability Notions and Characterization.- Advanced Methods.- The Robust Output Feedback Stabilization Problem.- Applications.