Liapunov Functions And Stability In Control Theory

Author : Andrea Bacciotti
Publisher : Springer Science & Business Media
ISBN 13 : 9783540213321
Total Pages : 264 pages
Book Rating : 4.25/5 ( download)

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Download or read book Liapunov Functions and Stability in Control Theory written by Andrea Bacciotti and published by Springer Science & Business Media. This book was released on 2005-04-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control. Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs. In the 2nd edition of this successful book several new sections were added and old sections have been improved, e.g., about the Zubovs method, Liapunov functions for discontinuous systems and cascaded systems. Many new examples, explanations and figures were added making this book accessible and well readable for engineers as well as mathematicians.

Author : Andrea Bacciotti
Publisher :
ISBN 13 : 9781447139744
Total Pages : 224 pages
Book Rating : 4.47/5 ( download)

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Download or read book Liapunov Functions and Stability in Control Theory written by Andrea Bacciotti and published by . This book was released on 2014-01-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Daniel Liberzon
Publisher : Springer Science & Business Media
ISBN 13 : 1461200172
Total Pages : 232 pages
Book Rating : 4.78/5 ( download)

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Download or read book Switching in Systems and Control written by Daniel Liberzon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.

Author : James R. Leigh
Publisher : IET
ISBN 13 : 9780906048962
Total Pages : 108 pages
Book Rating : 4.66/5 ( download)

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Download or read book Essentials of Nonlinear Control Theory written by James R. Leigh and published by IET. This book was released on 1983 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following topics are dealt with: nonlinearity: dynamic systems; describing function method; phase plane portrait; linearisation ;nonlinear second-order system linearisation; envelope methods; Limit cycles; relaxation oscillations; Lienard's equation; gradient systems and system decomposition.

Author : Derong Liu
Publisher : Springer Science & Business Media
ISBN 13 : 1461200377
Total Pages : 432 pages
Book Rating : 4.76/5 ( download)

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Download or read book Stability and Control of Dynamical Systems with Applications written by Derong Liu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that I offer my reflections on Professor Anthony N. Michel's retirement from the University of Notre Dame. I have known Tony since 1984 when he joined the University of Notre Dame's faculty as Chair of the Depart ment of Electrical Engineering. Tony has had a long and outstanding career. As a researcher, he has made im portant contributions in several areas of systems theory and control theory, espe cially stability analysis of large-scale dynamical systems. The numerous awards he received from the professional societies, particularly the Institute of Electrical and Electronics Engineers (IEEE), are a testament to his accomplishments in research. He received the IEEE Control Systems Society's Best Transactions Paper Award (1978), and the IEEE Circuits and Systems Society's Guillemin-Cauer Prize Paper Award (1984) and Myril B. Reed Outstanding Paper Award (1993), among others. In addition, he was a Fulbright Scholar (1992) and received the Alexander von Hum boldt Forschungspreis (Alexander von Humboldt Research Award for Senior U.S. Scientists) from the German government (1997). To date, he has written eight books and published over 150 archival journal papers. Tony is also an effective administrator who inspires high academic standards.

Author : Randy A. Freeman
Publisher : Springer Science & Business Media
ISBN 13 : 0817647597
Total Pages : 268 pages
Book Rating : 4.99/5 ( download)

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Download or read book Robust Nonlinear Control Design written by Randy A. Freeman and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This softcover book summarizes Lyapunov design techniques for nonlinear systems and raises important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here.

Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 0691133298
Total Pages : 975 pages
Book Rating : 4.94/5 ( download)

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Download or read book Nonlinear Dynamical Systems and Control written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2008-02-17 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics and beyond. This book presents and develops a complete and thorough treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods.

Author : Kang-Zhi Liu
Publisher : John Wiley & Sons
ISBN 13 : 1118754417
Total Pages : 500 pages
Book Rating : 4.12/5 ( download)

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Download or read book Robust Control written by Kang-Zhi Liu and published by John Wiley & Sons. This book was released on 2016-09-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and up to date coverage of robust control theory and its application • Presented in a well-planned and logical way • Written by a respected leading author, with extensive experience in robust control • Accompanying website provides solutions manual and other supplementary material

Author : Lyubomir T. Gruyitch
Publisher : CRC Press
ISBN 13 : 1466587512
Total Pages : 426 pages
Book Rating : 4.19/5 ( download)

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Download or read book Tracking Control of Linear Systems written by Lyubomir T. Gruyitch and published by CRC Press. This book was released on 2013-05-29 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary purpose of control is to force desired behavior in an unpredictable environment, under the actions of unknown, possibly unmeasurable disturbances and unpredictable, and therefore probably nonzero, initial conditions. This means that tracking and tracking control synthesis are fundamental control issues. Surprisingly, however, tracking theory has not been well developed, and stability theory has dominated. Tracking Control of Linear Systems presents the fundamentals of tracking theory for control systems. The book introduces the full transfer function matrix F(s), which substantially changes the theory of linear dynamical and control systems and enables a novel synthesis of tracking control that works more effectively in real environments. An Introduction to the New Fundamentals of the Theory of Linear Control Systems The book begins by re-examining classic linear control systems theory. It then defines and determines the system full (complete) transfer function matrix F(s) for two classes of systems: input-output (IO) control systems and input-state-output (ISO) control systems. The book also discusses the fundamentals of tracking and trackability. It presents new Lyapunov tracking control algorithms and natural tracking control (NTC) algorithms, which ensure the quality of the tracking under arbitrary disturbances and initial conditions. This natural tracking control is robust, adaptable, and simple to implement. Advances in Linear Control Systems Theory: Tracking and Trackability This book familiarizes readers with novel, sophisticated approaches and methods for tracking control design in real conditions. Contributing to the advancement of linear control systems theory, this work opens new directions for research in time-invariant continuous-time linear control systems. It builds on previous works in the field, extending treatment of the system transfer functions, stability issues, the plant–control relationship, and control synthesis.

Author : A M Lyapunov
Publisher : CRC Press
ISBN 13 : 9780748400621
Total Pages : 284 pages
Book Rating : 4.21/5 ( download)

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Download or read book General Problem of the Stability Of Motion written by A M Lyapunov and published by CRC Press. This book was released on 1992-08-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes more widely accessible the text of Lyapunov's major memoir of the general problem of the stability of motion. Translated by A. T. Fuller (University of Cambridge), the work is now available for the first time in the English language, and marked the centenary of the Russian publication in the late 1800s. Including a biography of Lyapunov and a comprehensive bibliography of his work, this excellent volume will prove to be of fundamental interest to all those concerned with the concept of the stability of motion, boundaries of stability, and with nonlinear dynamics.