Absolute Stability Of Nonlinear Control Systems
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Absolute Stability Of Nonlinear Control Systems
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Author : Xiao-Xin Liao
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Absolute Stability Of Nonlinear Control Systems written by Xiao-Xin Liao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
As is well-known, a control system always works under a variety of accidental or continued disturbances. Therefore, in designing and analysing the control system, stability is the first thing to be considered. Classic control theory was basically limited to a discussion of linear systems with constant coefficients. The fundamental tools for such studies were the Routh-Hurwitz algebraic criterion and the Nyquist geometric criterion. However, modern control theory mainly deals with nonlinear problems. The stability analysis of nonlinear control systems based on Liapunov stability theory can be traced back to the Russian school of stability. In 1944, the Russian mathematician Lurie, a specialist in control theory, discussed the stability of an autopilot. The well-known Lurie problem and the concept of absolute stability are presented, which is of universal significance both in theory and practice. Up until the end of the 1950's, the field of absolute stability was monopolized mainly by Russian scholars such as A. 1. Lurie, M. A. Aizeman, A. M. Letov and others. At the beginning of the 1960's, some famous American mathematicians such as J. P. LaSalle, S. Lefschetz and R. E. Kalman engaged themself in this field. Meanwhile, the Romanian scholar Popov presented a well-known frequency criterion and consequently ma de a decisive breakthrough in the study of absolute stability.
Absolute Stability Of Nonlinear Control Systems
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Author : Xiaoxin Liao
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-16
Absolute Stability Of Nonlinear Control Systems written by Xiaoxin Liao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-16 with Mathematics categories.
Following the recent developments in the field of absolute stability, Prof. Xiaoxin Liao, in conjunction with Prof. Pei Yu, has created a second edition of his seminal work on the subject. Liao begins with an introduction to the Lurie problem and Lurie control system, before moving on to the simple algebraic sufficient conditions for the absolute stability of autonomous and non-autonomous ODE systems, as well as several special classes of Lurie-type systems. The focus of the book then shifts toward the new results and research that have appeared in the decade since the first edition was published. This book is aimed to be used by undergraduates in the areas of applied mathematics, nonlinear control systems, and chaos control and synchronisation, but may also be useful as a reference for researchers and engineers. The book is self-contained, though a basic knowledge of calculus, linear system and matrix theory, and ordinary differential equations is a prerequisite.
Absolute Stability Of Nonlinear Control Systems
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Author : Xiao-xin Liao
language : en
Publisher: Springer Science & Business Media
Release Date : 1993
Absolute Stability Of Nonlinear Control Systems written by Xiao-xin Liao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This volume presents an overview of some recent developments on the absolute stability of nonlinear control systems. Chapter 1 introduces the main tools and the principal results used in this book, such as Lyapunov functions, K -class functions, Dini-derivatives, M -matrices and the principal theorems on global stability. Chapter 2 presents the absolute stability theory of autonomous control systems and the well-known Lurie problem. Chapter 3 gives some simple algebraic necessary and sufficient conditions for the absolute stability of several special control systems. Chapter 4 discusses nonautonomous and discrete control systems. Chapter 5 deals with the absolute stability of control systems with m nonlinear control terms. Chapter 6 devotes itself to the absolute stability of control systems described by functional differential equations. The book concludes with a useful bibliography. For applied mathematicians, and engineers whose work involves control systems.
Stability Of Nonlinear Control Systems
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Author : Lefschetz
language : en
Publisher: Academic Press
Release Date : 1965-01-01
Stability Of Nonlinear Control Systems written by Lefschetz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-01-01 with Computers categories.
Stability of Nonlinear Control Systems
A Study Of Absolute Stability In Nonlinear Control Systems
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Author : SUDHINDRANATH PYATI
language : en
Publisher:
Release Date : 1966
A Study Of Absolute Stability In Nonlinear Control Systems written by SUDHINDRANATH PYATI and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Stability In Nonlinear Control Systems
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Author : Aleksandr Mikhailovich Letov
language : en
Publisher: Princeton University Press
Release Date : 2015-12-08
Stability In Nonlinear Control Systems written by Aleksandr Mikhailovich Letov and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Mathematics categories.
The author, a Nobel prize-winner, has added to the American translation several chapters not in the original. Originally published in 1961. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
The Absolute Stability Of Nonlinear Automatic Control Systems
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Author : B. Zh Maygarin
language : en
Publisher:
Release Date : 1965
The Absolute Stability Of Nonlinear Automatic Control Systems written by B. Zh Maygarin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Feedback control systems categories.
Investigation Of Nonlinear Control Systems Piecewise Linear Methods And Absolute Stability
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Author : Nicolai Minorsky
language : en
Publisher:
Release Date : 1960
Investigation Of Nonlinear Control Systems Piecewise Linear Methods And Absolute Stability written by Nicolai Minorsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Automatic control categories.
Nonlinear Control Systems
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Author : Zoran Vukic
language : en
Publisher: CRC Press
Release Date : 2003-02-04
Nonlinear Control Systems written by Zoran Vukic and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-04 with Technology & Engineering categories.
This text emphasizes classical methods and presents essential analytical tools and strategies for the construction and development of improved design methods in nonlinear control. It offers engineering procedures for the frequency domain, as well as solved examples for clear understanding of control applications in the industrial, electrical, process, manufacturing, and automotive industries. The authors discuss properties of nonlinear systems, stability, linearization methods, operating modes and dynamic analysis methods, phase trajectories in dynamic analysis of nonlinear systems, and harmonic linearization in dynamic analysis of nonlinear control systems operating in stabilization mode.
Philosophy Of Nonlinear Control Systems
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Author : Boris Nikolaevich Naumov
language : en
Publisher: Springer
Release Date : 1990
Philosophy Of Nonlinear Control Systems written by Boris Nikolaevich Naumov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.