Nonlinear Systems

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Nonlinear Systems

P. G. Drazin
Nonlinear Systems Book PDF

Author : P. G. Drazin
Publisher : Cambridge University Press
Page : 354 pages
File Size : 51,5 Mb
Release : 1992-06-26
Category : Mathematics
ISBN : 0521406684

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Nonlinear Systems by P. G. Drazin Pdf

The theories of bifurcation, chaos and fractals as well as equilibrium, stability and nonlinear oscillations, are part of the theory of the evolution of solutions of nonlinear equations. A wide range of mathematical tools and ideas are drawn together in the study of these solutions, and the results applied to diverse and countless problems in the natural and social sciences, even philosophy. The text evolves from courses given by the author in the UK and the United States. It introduces the mathematical properties of nonlinear systems, mostly difference and differential equations, as an integrated theory, rather than presenting isolated fashionable topics. Topics are discussed in as concrete a way as possible and worked examples and problems are used to explain, motivate and illustrate the general principles. The essence of these principles, rather than proof or rigour, is emphasized. More advanced parts of the text are denoted by asterisks, and the mathematical prerequisites are limited to knowledge of linear algebra and advanced calculus, thus making it ideally suited to both senior undergraduates and postgraduates from physics, engineering, chemistry, meteorology etc. as well as mathematics.

Nonlinear Systems

Shankar Sastry
Nonlinear Systems Book PDF

Author : Shankar Sastry
Publisher : Springer Science & Business Media
Page : 690 pages
File Size : 52,6 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9781475731088

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Nonlinear Systems by Shankar Sastry Pdf

There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.

Nonlinear Systems

Hassan K. Khalil
Nonlinear Systems Book PDF

Author : Hassan K. Khalil
Publisher : Unknown
Page : 0 pages
File Size : 50,5 Mb
Release : 2015
Category : Nonlinear theories
ISBN : 9332542031

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Nonlinear Systems by Hassan K. Khalil Pdf

The text is written to build the level of mathematical sophistication from chapter to chapter. It has been reorganized into four parts: Basic analysis, Analysis of feedback systems, Advanced analysis, and Nonlinear feedback control.

Oscillations in Nonlinear Systems

Jack K. Hale
Oscillations in Nonlinear Systems Book PDF

Author : Jack K. Hale
Publisher : Courier Dover Publications
Page : 192 pages
File Size : 43,5 Mb
Release : 2015-03-24
Category : Mathematics
ISBN : 9780486803265

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Oscillations in Nonlinear Systems by Jack K. Hale Pdf

By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. 1963 edition.

Fractional-Order Nonlinear Systems

Ivo Petráš
Fractional Order Nonlinear Systems Book PDF

Author : Ivo Petráš
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 42,5 Mb
Release : 2011-05-30
Category : Technology & Engineering
ISBN : 9783642181016

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Fractional-Order Nonlinear Systems by Ivo Petráš Pdf

"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Nonlinear Systems Analysis

M. Vidyasagar
Nonlinear Systems Analysis Book PDF

Author : M. Vidyasagar
Publisher : SIAM
Page : 515 pages
File Size : 49,6 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 0898719186

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Nonlinear Systems Analysis by M. Vidyasagar Pdf

When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.

Nonlinear Systems in Heat Transfer

Davood Domairry Ganji,Yaser Sabzehmeidani,Amin Sedighiamiri
Nonlinear Systems in Heat Transfer Book PDF

Author : Davood Domairry Ganji,Yaser Sabzehmeidani,Amin Sedighiamiri
Publisher : Elsevier
Page : 288 pages
File Size : 52,9 Mb
Release : 2017-09-15
Category : Science
ISBN : 9780128120200

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Nonlinear Systems in Heat Transfer by Davood Domairry Ganji,Yaser Sabzehmeidani,Amin Sedighiamiri Pdf

Nonlinear Heat Transfer: Mathematical Modeling and Analytical Methods addresses recent progress and original research in nonlinear science and its application in the area of heat transfer, with a particular focus on the most important advances and challenging applications. The importance of understanding analytical methods for solving linear and nonlinear constitutive equations is essential in studying engineering problems. This book provides a comprehensive range of (partial) differential equations, applied in the field of heat transfer, tackling a comprehensive range of nonlinear mathematical problems in heat radiation, heat conduction, heat convection, heat diffusion and non-Newtonian fluid systems. Providing various innovative analytical techniques and their practical application in nonlinear engineering problems is the unique point of this book. Drawing a balance between theory and practice, the different chapters of the book focus not only on the broader linear and nonlinear problems, but also applied examples of practical solutions by the outlined methodologies. Demonstrates applied mathematical techniques in the engineering applications, especially in nonlinear phenomena Exhibits a complete understanding of analytical methods and nonlinear differential equations in heat transfer Provides the tools to model and interpret applicable methods in heat transfer processes or systems to solve related complexities

Deterministic Nonlinear Systems

Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina I. Strelkova
Deterministic Nonlinear Systems Book PDF

Author : Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina I. Strelkova
Publisher : Springer
Page : 294 pages
File Size : 49,8 Mb
Release : 2014-06-16
Category : Science
ISBN : 9783319068718

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Deterministic Nonlinear Systems by Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina I. Strelkova Pdf

This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.

Intelligent Observer and Control Design for Nonlinear Systems

Dierk Schröder
Intelligent Observer and Control Design for Nonlinear Systems Book PDF

Author : Dierk Schröder
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 49,8 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783662041178

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Intelligent Observer and Control Design for Nonlinear Systems by Dierk Schröder Pdf

This application-oriented monograph focuses on a novel and complex type of control systems. Written on an engineering level, including fundamentals, advanced methods and applications, the book applies techniques originating from new methods such as artificial intelligence, fuzzy logic, neural networks etc.

Output Regulation of Uncertain Nonlinear Systems

Christopher I. Byrnes,Francesco Delli Priscoli,Alberto Isidori
Output Regulation of Uncertain Nonlinear Systems Book PDF

Author : Christopher I. Byrnes,Francesco Delli Priscoli,Alberto Isidori
Publisher : Springer Science & Business Media
Page : 140 pages
File Size : 44,5 Mb
Release : 1997-06
Category : Mathematics
ISBN : 0817639977

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Output Regulation of Uncertain Nonlinear Systems by Christopher I. Byrnes,Francesco Delli Priscoli,Alberto Isidori Pdf

The problem of controlling the output of a system so as to achieve asymptotic tracking of prescribed trajectories and/or asymptotic re jection of undesired disturbances is a central problem in control the ory. A classical setup in which the problem was posed and success fully addressed - in the context of linear, time-invariant and finite dimensional systems - is the one in which the exogenous inputs, namely commands and disturbances, may range over the set of all possible trajectories ofa given autonomous linear system, commonly known as the exogeneous system or, more the exosystem. The case when the exogeneous system is a harmonic oscillator is, of course, classical. Even in this special case, the difference between state and error measurement feedback in the problem ofoutput reg ulation is profound. To know the initial condition of the exosystem is to know the amplitude and phase of the corresponding sinusoid. On the other hand, to solve the output regulation problem in this case with only error measurement feedback is to track, or attenu ate, a sinusoid ofknown frequency but with unknown amplitude and phase. This is in sharp contrast with alternative approaches, such as exact output tracking, where in lieu of the assumption that a signal is within a class of signals generated by an exogenous system, one instead assumes complete knowledge of the past, present and future time history of the trajectory to be tracked.

Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

Anatoli Torokhti,Phil Howlett
Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett Book PDF

Author : Anatoli Torokhti,Phil Howlett
Publisher : Elsevier
Page : 413 pages
File Size : 44,9 Mb
Release : 2007-04-11
Category : Mathematics
ISBN : 9780080475387

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Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett by Anatoli Torokhti,Phil Howlett Pdf

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. Best operator approximation Non-Lagrange interpolation Generic Karhunen-Loeve transform Generalised low-rank matrix approximation Optimal data compression Optimal nonlinear filtering

Nonlinear Systems Stability Analysis

Seyed Kamaleddin Yadavar Nikravesh
Nonlinear Systems Stability Analysis Book PDF

Author : Seyed Kamaleddin Yadavar Nikravesh
Publisher : CRC Press
Page : 319 pages
File Size : 52,8 Mb
Release : 2018-09-03
Category : Science
ISBN : 9781466569294

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Nonlinear Systems Stability Analysis by Seyed Kamaleddin Yadavar Nikravesh Pdf

The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions. Although numerical solutions are impractical and graphical techniques are not useful for many types of systems, there are different theorems and methods that are useful regarding qualitative properties of nonlinear systems and their solutions—system stability being the most crucial property. Without stability, a system will not have value. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis of nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods using Lyapunov approaches. The author discusses standard stability techniques, highlighting their shortcomings, and also describes recent developments in stability analysis that can improve applicability of the standard methods. The text covers mostly new topics such as stability of homogonous nonlinear systems and higher order Lyapunov functions derivatives for stability analysis. It also addresses special classes of nonlinear systems including time-delayed and fuzzy systems. Presenting new methods, this book provides a nearly complete set of methods for constructing Lyapunov functions in both autonomous and nonautonomous systems, touching on new topics that open up novel research possibilities. Gathering a body of research into one volume, this text offers information to help engineers design stable systems using practice-oriented methods and can be used for graduate courses in a range of engineering disciplines.

Stability Analysis of Nonlinear Systems

Vangipuram Lakshmikantham,Srinivasa Leela,Anatoly A. Martynyuk
Stability Analysis of Nonlinear Systems Book PDF

Author : Vangipuram Lakshmikantham,Srinivasa Leela,Anatoly A. Martynyuk
Publisher : Birkhäuser
Page : 329 pages
File Size : 50,9 Mb
Release : 2015-12-29
Category : Mathematics
ISBN : 9783319272009

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Stability Analysis of Nonlinear Systems by Vangipuram Lakshmikantham,Srinivasa Leela,Anatoly A. Martynyuk Pdf

The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.

Nonlinear System Identification

Oliver Nelles
Nonlinear System Identification Book PDF

Author : Oliver Nelles
Publisher : Springer Science & Business Media
Page : 786 pages
File Size : 45,7 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783662043233

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Nonlinear System Identification by Oliver Nelles Pdf

Written from an engineering point of view, this book covers the most common and important approaches for the identification of nonlinear static and dynamic systems. The book also provides the reader with the necessary background on optimization techniques, making it fully self-contained. The new edition includes exercises.

Nonlinear System Dynamics

W. Richard Kolk,Robert A. Lerman
Nonlinear System Dynamics Book PDF

Author : W. Richard Kolk,Robert A. Lerman
Publisher : Springer Science & Business Media
Page : 359 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781468464948

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Nonlinear System Dynamics by W. Richard Kolk,Robert A. Lerman Pdf

Engineers, scientists, and applied mathematicians are habitually curious about behavior of physical systems. More often than not they will model the system and then analyze the model, hoping to expose the system's dynamic secrets. Traditionally, linear methods have been the norm and nonlinear effects were only added peripherally. This bias for linear techniques arises from the consum mate beauty and order in linear subs paces and the elegance of linear indepen dence is too compelling to be denied. And the bias has been, in the past, for tified by the dearth of nonlinear procedures, rendering the study of nonlinear dynamics untidy. But now a new attractiveness is being conferred on that non descript patchwork, and the virtue of the hidden surprises is gaining deserved respect. With a wide variety of individual techniques available, the student and the engineer as well as the scientist and researcher, are faced with an almost overwhelming task of which to use to help achieve an understanding sufficient to reach a satisfying result. If linear analysis predicts system behavior suffi ciently close to reality, that is delightful. In the more likely case where nonlin ear analysis is required, we believe this text fills an important void. We have tried to compile and bring some order to a large amount of information and techniques, that although well known, is scattered. We have also extended this knowledge base with new material not previously published.