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Liapunov Functions and Stability in Control Theory

Author: Andrea Bacciotti

Publisher: Springer Science & Business Media

Published: 2005-04-13

Total Pages: 264

ISBN-13: 9783540213321

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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.

Book Synopsis Liapunov Functions and Stability in Control Theory by : Andrea Bacciotti

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.

Liapunov Functions and Stability in Control Theory

Author: Andrea Bacciotti

Publisher:

Published: 2014-01-15

Total Pages: 224

ISBN-13: 9781447139744

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Book Synopsis Liapunov Functions and Stability in Control Theory by : Andrea Bacciotti

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:

Switching in Systems and Control

Author: Daniel Liberzon

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 232

ISBN-13: 1461200172

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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.

Book Synopsis Switching in Systems and Control by : Daniel Liberzon

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.

Essentials of Nonlinear Control Theory

Author: James R. Leigh

Publisher: IET

Published: 1983

Total Pages: 108

ISBN-13: 9780906048962

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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.

Book Synopsis Essentials of Nonlinear Control Theory by : James R. Leigh

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.

Stability and Control of Dynamical Systems with Applications

Author: Derong Liu

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 432

ISBN-13: 1461200377

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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.

Book Synopsis Stability and Control of Dynamical Systems with Applications by : Derong Liu

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.

Robust Nonlinear Control Design

Author: Randy A. Freeman

Publisher: Springer Science & Business Media

Published: 2009-05-21

Total Pages: 268

ISBN-13: 0817647597

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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.

Book Synopsis Robust Nonlinear Control Design by : Randy A. Freeman

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.

Nonlinear Dynamical Systems and Control

Author: Wassim M. Haddad

Publisher: Princeton University Press

Published: 2008-02-17

Total Pages: 975

ISBN-13: 0691133298

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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.

Book Synopsis Nonlinear Dynamical Systems and Control by : Wassim M. Haddad

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.

Robust Control

Author: Kang-Zhi Liu

Publisher: John Wiley & Sons

Published: 2016-09-15

Total Pages: 500

ISBN-13: 1118754417

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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

Book Synopsis Robust Control by : Kang-Zhi Liu

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

Tracking Control of Linear Systems

Author: Lyubomir T. Gruyitch

Publisher: CRC Press

Published: 2013-05-29

Total Pages: 426

ISBN-13: 1466587512

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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.

Book Synopsis Tracking Control of Linear Systems by : Lyubomir T. Gruyitch

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.

Stability Theory of Switched Dynamical Systems

Author: Zhendong Sun

Publisher: Springer Science & Business Media

Published: 2011-01-06

Total Pages: 266

ISBN-13: 0857292560

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There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input. For each of these classes this book propounds: detailed stability analysis and/or design, related robustness and performance issues, connections to other control problems and many motivating and illustrative examples.

Book Synopsis Stability Theory of Switched Dynamical Systems by : Zhendong Sun

Download or read book Stability Theory of Switched Dynamical Systems written by Zhendong Sun and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input. For each of these classes this book propounds: detailed stability analysis and/or design, related robustness and performance issues, connections to other control problems and many motivating and illustrative examples.