Nonlinear Systems And Applications

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Nonlinear Systems

Author : Christos K. Volos
Publisher : Nova Science Publishers
ISBN 13 : 9781536123166
Total Pages : 375 pages
Book Rating : 4.1/5 (231 download)

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Book Synopsis Nonlinear Systems by : Christos K. Volos

Download or read book Nonlinear Systems written by Christos K. Volos and published by Nova Science Publishers. This book was released on 2017 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonlinear system is a set of nonlinear equations, which may be algebraic, ordinary differential, partial differential, fractional, integral or a combination of these. Especially, nowadays, the term "dynamical system" is used as a synonym of nonlinear systems where the nonlinear equations represent the evolution of a solution over time. So, the notion of dynamical systems arose following the name of equations governing the motion of a system of particles, even though the nonlinear system may have no application to mechanics. Also, from an engineering point of view a nonlinear system may be represented with a feedback loop in which the output of an element is not proportional to its input. Over the last few decades, nonlinear systems have been used to describe a great variety of phenomena, in social and life sciences as well as in physical sciences and engineering. The theory of nonlinear systems has applications to problems of population growth, economics, chemical reactions, celestial mechanics, physiology of nerves, onset of turbulence, regulation of heartbeats, electronic circuits, cryptography, secure communications and many others. Nonlinear dynamical systems, which present chaotic behavior, are of great importance due to their applications in science and engineering. Chaotic systems are nonlinear dynamical systems and maps that are highly sensitive to initial conditions. The sensitivity of initial conditions is usually called the butter'y effect for dynamical systems and maps. So, nowadays the design and analysis of nonlinear systems and especially chaotic systems has gained the interest of the research community due to the fact that many phenomena on financial, physical, biological, chemical, mechanical and engineering systems can be modeled and studied through the perspective of nonlinear dynamics. These nonlinear systems can be modeled by discrete-time or continuous-time mathematical models.This book aims to bridge the gap between the design/analysis and applications, which are the two research stages on the progress of nonlinear systems and also which open up some new directions of real applications, where chaos can be put up to technological use, including secure communication systems, electronic circuits' design, memristors and radar. Finally, this book can serve as an updated and handy reference for university professors, graduate students, laboratory researchers as well as physicists and applied mathematicians who are interested in studying the chaos and its applications through the field of nonlinear systems.

Nonlinear System Analysis and Identification from Random Data

Author : Julius S. Bendat
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear System Analysis and Identification from Random Data by : Julius S. Bendat

Download or read book Nonlinear System Analysis and Identification from Random Data written by Julius S. Bendat and published by Wiley-Interscience. This book was released on 1990-03-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes procedures to identify and analyze the properties of many types of nonlinear systems from random data measured at the input and output points of physical systems. Improvements are offered in applying older techniques, and problems that traditionally have been difficult to analyze are solved by new, simpler procedures. Formulas are stated for optimum nonlinear system identification in both general models consisting of parallel, linear bilinear and trilinear systems, and special models consisting of parallel linear, finite-memory square-law systems and finite-memory cubic systems. New results, obtained here, show when and how to replace complicated single input/output nonlinear models with simpler alternative multiple input/single output linear models. New error analysis formulas are presented to design experiments and to evaluate estimates obtained from measured data. Includes many illustrative examples.

Nonlinear Systems Analysis

Author : M. Vidyasagar
Publisher : SIAM
ISBN 13 : 9780898719185
Total Pages : 515 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Nonlinear Systems Analysis by : M. Vidyasagar

Download or read book Nonlinear Systems Analysis written by M. Vidyasagar and published by SIAM. This book was released on 2002-01-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Applications

Author : V. Lakshmikantham
Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Nonlinear Systems and Applications by : V. Lakshmikantham

Download or read book Nonlinear Systems and Applications written by V. Lakshmikantham and published by . This book was released on 1977 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Systems and Applications ...

Nonlinear Systems

Author : Shankar Sastry
Publisher : Springer Science & Business Media
ISBN 13 : 1475731086
Total Pages : 690 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Nonlinear Systems by : Shankar Sastry

Download or read book Nonlinear Systems written by Shankar Sastry and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear, Time-varying Approximations to Nonlinear Dynamical Systems

Author : Maria Tomas-Rodriguez
Publisher : Springer Science & Business Media
ISBN 13 : 184996100X
Total Pages : 303 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Linear, Time-varying Approximations to Nonlinear Dynamical Systems by : Maria Tomas-Rodriguez

Download or read book Linear, Time-varying Approximations to Nonlinear Dynamical Systems written by Maria Tomas-Rodriguez and published by Springer Science & Business Media. This book was released on 2010-02-04 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

PID Passivity-Based Control of Nonlinear Systems with Applications

Author : Romeo Ortega
Publisher : John Wiley & Sons
ISBN 13 : 1119694167
Total Pages : 244 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis PID Passivity-Based Control of Nonlinear Systems with Applications by : Romeo Ortega

Download or read book PID Passivity-Based Control of Nonlinear Systems with Applications written by Romeo Ortega and published by John Wiley & Sons. This book was released on 2021-09-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the foundational and advanced subjects associated with proportional-integral-derivative controllers from leading authors in the field In PID Passivity-Based Control of Nonlinear Systems with Applications, expert researchers and authors Drs. Romeo Ortega, Jose Guadalupe Romero, Pablo Borja, and Alejandro Donaire deliver a comprehensive and detailed discussion of the most crucial and relevant concepts in the analysis and design of proportional-integral-derivative controllers using passivity techniques. The accomplished authors present a formal treatment of the recent research in the area and offer readers practical applications of the developed methods to physical systems, including electrical, mechanical, electromechanical, power electronics, and process control. The book offers the material with minimal mathematical background, making it relevant to a wide audience. Familiarity with the theoretical tools reported in the control systems literature is not necessary to understand the concepts contained within. You’ll learn about a wide range of concepts, including disturbance rejection via PID control, PID control of mechanical systems, and Lyapunov stability of PID controllers. Readers will also benefit from the inclusion of: A thorough introduction to a class of physical systems described in the port-Hamiltonian form and a presentation of the systematic procedures to design PID-PBC for them An exploration of the applications to electrical, electromechanical, and process control systems of Lyapunov stability of PID controllers Practical discussions of the regulation and tracking of bilinear systems via PID control and their application to power electronics and thermal process control A concise treatment of the characterization of passive outputs, incremental models, and Port Hamiltonian and Euler-Lagrange systems Perfect for senior undergraduate and graduate students studying control systems, PID Passivity-Based Control will also earn a place in the libraries of engineers who practice in this area and seek a one-stop and fully updated reference on the subject.

Applications of Nonlinear Dynamics

Author : Visarath In
Publisher : Springer Science & Business Media
ISBN 13 : 3540856323
Total Pages : 464 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Applications of Nonlinear Dynamics by : Visarath In

Download or read book Applications of Nonlinear Dynamics written by Visarath In and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Nonlinear Equations: Methods, Models and Applications

Author : Daniela Lupo
Publisher : Springer Science & Business Media
ISBN 13 : 9783764303983
Total Pages : 284 pages
Book Rating : 4.3/5 (39 download)

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Book Synopsis Nonlinear Equations: Methods, Models and Applications by : Daniela Lupo

Download or read book Nonlinear Equations: Methods, Models and Applications written by Daniela Lupo and published by Springer Science & Business Media. This book was released on 2003-09-25 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research articles originating from the Workshop on Nonlinear Analysis and Applications held in Bergamo in July 2001. Classical topics of nonlinear analysis were considered, such as calculus of variations, variational inequalities, critical point theory and their use in various aspects of the study of elliptic differential equations and systems, equations of Hamilton-Jacobi, Schrödinger and Navier-Stokes, and free boundary problems. Moreover, various models were focused upon: travelling waves in supported beams and plates, vortex condensation in electroweak theory, information theory, non-geometrical optics, and Dirac-Fock models for heavy atoms.

Nonlinear Systems

Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 9780521406680
Total Pages : 354 pages
Book Rating : 4.4/5 (66 download)

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Book Synopsis Nonlinear Systems by : P. G. Drazin

Download or read book Nonlinear Systems written by P. G. Drazin and published by Cambridge University Press. This book was released on 1992-06-26 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances and Applications in Nonlinear Control Systems

Author : Sundarapandian Vaidyanathan
Publisher : Springer
ISBN 13 : 3319301691
Total Pages : 683 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Advances and Applications in Nonlinear Control Systems by : Sundarapandian Vaidyanathan

Download or read book Advances and Applications in Nonlinear Control Systems written by Sundarapandian Vaidyanathan and published by Springer. This book was released on 2016-03-17 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reports on the latest advances and applications of nonlinear control systems. It consists of 30 contributed chapters by subject experts who are specialized in the various topics addressed in this book. The special chapters have been brought out in the broad areas of nonlinear control systems such as robotics, nonlinear circuits, power systems, memristors, underwater vehicles, chemical processes, observer design, output regulation, backstepping control, sliding mode control, time-delayed control, variables structure control, robust adaptive control, fuzzy logic control, chaos, hyperchaos, jerk systems, hyperjerk systems, chaos control, chaos synchronization, etc. Special importance was given to chapters offering practical solutions, modeling and novel control methods for the recent research problems in nonlinear control systems. This book will serve as a reference book for graduate students and researchers with a basic knowledge of electrical and control systems engineering. The resulting design procedures on the nonlinear control systems are emphasized using MATLAB software.

Notes on Diffy Qs

Author : Jiri Lebl
Publisher :
ISBN 13 : 9781706230236
Total Pages : 468 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Notes on Diffy Qs by : Jiri Lebl

Download or read book Notes on Diffy Qs written by Jiri Lebl and published by . This book was released on 2019-11-13 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.

Analysis and Control of Nonlinear Systems

Author : Jean Levine
Publisher : Springer Science & Business Media
ISBN 13 : 3642008399
Total Pages : 322 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Analysis and Control of Nonlinear Systems by : Jean Levine

Download or read book Analysis and Control of Nonlinear Systems written by Jean Levine and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines control of nonlinear systems. Coverage ranges from mathematical system theory to practical industrial control applications. The author offers web-based videos illustrating some dynamical aspects and case studies in simulation.

Regularity Results for Nonlinear Elliptic Systems and Applications

Author : Alain Bensoussan
Publisher : Springer Science & Business Media
ISBN 13 : 3662129051
Total Pages : 450 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Regularity Results for Nonlinear Elliptic Systems and Applications by : Alain Bensoussan

Download or read book Regularity Results for Nonlinear Elliptic Systems and Applications written by Alain Bensoussan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory.

Nonlinear and Adaptive Control with Applications

Author : Alessandro Astolfi
Publisher : Springer Science & Business Media
ISBN 13 : 1848000669
Total Pages : 290 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Nonlinear and Adaptive Control with Applications by : Alessandro Astolfi

Download or read book Nonlinear and Adaptive Control with Applications written by Alessandro Astolfi and published by Springer Science & Business Media. This book was released on 2007-12-06 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors here provide a detailed treatment of the design of robust adaptive controllers for nonlinear systems with uncertainties. They employ a new tool based on the ideas of system immersion and manifold invariance. New algorithms are delivered for the construction of robust asymptotically-stabilizing and adaptive control laws for nonlinear systems. The methods proposed lead to modular schemes that are easier to tune than their counterparts obtained from Lyapunov redesign.

Methods of Nonlinear Analysis

Author : Pavel Drabek
Publisher : Springer Science & Business Media
ISBN 13 : 3034803877
Total Pages : 649 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Methods of Nonlinear Analysis by : Pavel Drabek

Download or read book Methods of Nonlinear Analysis written by Pavel Drabek and published by Springer Science & Business Media. This book was released on 2013-01-18 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists

Robust Event-Triggered Control of Nonlinear Systems

Author : Tengfei Liu
Publisher : Springer Nature
ISBN 13 : 9811550131
Total Pages : 264 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Robust Event-Triggered Control of Nonlinear Systems by : Tengfei Liu

Download or read book Robust Event-Triggered Control of Nonlinear Systems written by Tengfei Liu and published by Springer Nature. This book was released on 2020-06-25 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study on the novel concept of "event-triggered control of nonlinear systems subject to disturbances", discussing the theory and practical applications. Richly illustrated, it is a valuable resource for researchers, engineers and graduate students in automation engineering who wish to learn the theories, technologies, and applications of event-triggered control of nonlinear systems.