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: Science Press (NY)
Release Date : 1993
Absolute Stability Of Nonlinear Control Systems written by Xiao-xin Liao and has been published by Science Press (NY) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Nonlinear control theory categories.
Advanced Topics In Nonlinear Control Systems
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Author : T. P. Leung
language : en
Publisher: World Scientific
Release Date : 2001
Advanced Topics In Nonlinear Control Systems written by T. P. Leung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Technology & Engineering categories.
Over the last 50 years or so, a number of textbooks, monographs and even popular books have been published on nonlinear control theory and design methods. In the area of classical control, for example, there exist books concerned with phase-plane analysis, describing function approach, absolute stability and so on. In the area of modern control there are those related to optimal control, using differential geometry and the differential algebra method, variable structural control, H-infinite control and so on. These books have been useful in promoting the development of automatic control science and technology. Since 1990 there have been many new results and contributions in the area of nonlinear control. This book introduces those topics to interested readers. It will also benefit automation engineers, researchers and scholars in related fields.
Nonlinear Dynamical Systems And Control
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Author : Wassim M. Haddad
language : en
Publisher: Princeton University Press
Release Date : 2011-09-19
Nonlinear Dynamical Systems And Control written by Wassim M. Haddad 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 2011-09-19 with Mathematics categories.
Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
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.
Absolute Stability Of Nonlinear Control Systems
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Author : I. H. Mufti
language : en
Publisher:
Release Date : 1966
Absolute Stability Of Nonlinear Control Systems written by I. H. Mufti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Nonlinear control theory 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.
On The Absolute Stability Of Nonlinear Control Systems
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Author : Cheng-Fu Chen
language : en
Publisher:
Release Date : 1970
On The Absolute Stability Of Nonlinear Control Systems written by Cheng-Fu Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Nonlinear mechanics categories.
Control Theory
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Author : Tamer Basar
language : en
Publisher: Wiley-IEEE Press
Release Date : 2001
Control Theory written by Tamer Basar and has been published by Wiley-IEEE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
"IEEE Control Systems Society, sponsor."