Nonlinear Systems Vol 2

Author : Juan F. R. Archilla,Faustino Palmero,M. Carmen Lemos,Bernardo Sánchez-Rey,Jesús Casado-Pascual
Publisher : Springer
Page : 340 pages
File Size : 42,6 Mb
Release : 2017-12-21
Category : Science
ISBN : 9783319722184

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Nonlinear Systems, Vol. 2 by Juan F. R. Archilla,Faustino Palmero,M. Carmen Lemos,Bernardo Sánchez-Rey,Jesús Casado-Pascual Pdf

This book presents an overview of the most recent advances in nonlinear science. It provides a unified view of nonlinear properties in many different systems and highlights many new developments. While volume 1 concentrates on mathematical theory and computational techniques and challenges, which are essential for the study of nonlinear science, this second volume deals with nonlinear excitations in several fields. These excitations can be localized and transport energy and matter in the form of breathers, solitons, kinks or quodons with very different characteristics, which are discussed in the book. They can also transport electric charge, in which case they are known as polarobreathers or solectrons. Nonlinear excitations can influence function and structure in biology, as for example, protein folding. In crystals and other condensed matter, they can modify transport properties, reaction kinetics and interact with defects. There are also engineering applications in electric lattices, Josephson junction arrays, waveguide arrays, photonic crystals and optical fibers. Nonlinear excitations are inherent to Bose-Einstein Condensates, constituting an excellent benchmark for testing their properties and providing a pathway for future discoveries in fundamental physics.

Author : Norbert Euler,Maria Clara Nucci
Publisher : CRC Press
Page : 541 pages
File Size : 40,8 Mb
Release : 2019-12-06
Category : Mathematics
ISBN : 9780429554308

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Nonlinear Systems and Their Remarkable Mathematical Structures by Norbert Euler,Maria Clara Nucci Pdf

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics

Author : A. J. Fossard,D. Normand-Cyrot
Publisher : Unknown
Page : 128 pages
File Size : 43,7 Mb
Release : 1995
Category : Electronic
ISBN : OCLC:636925010

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Nonlinear Systems by A. J. Fossard,D. Normand-Cyrot Pdf

Author : P. G. Drazin
Publisher : Cambridge University Press
Page : 354 pages
File Size : 44,8 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.

Author : Alberto Isidori
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447105497

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Nonlinear Control Systems II by Alberto Isidori Pdf

This eagerly awaited follow-up to Nonlinear Control Systems incorporates recent advances in the design of feedback laws, for the purpose of globally stabilizing nonlinear systems via state or output feedback. The author is one of the most prominent researchers in the field.

Author : Norbert Euler,Maria Clara Nucci
Publisher : CRC Press
Page : 540 pages
File Size : 46,6 Mb
Release : 2019-11-19
Category : Differential equations, Nonlinear
ISBN : 0367208474

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Nonlinear Systems and Their Remarkable Mathematical Structures Volume II by Norbert Euler,Maria Clara Nucci Pdf

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics

Author : Alberto Isidori
Publisher : Springer Science & Business Media
Page : 557 pages
File Size : 42,9 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9781846286155

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Nonlinear Control Systems by Alberto Isidori Pdf

The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.

Author : Victoriano Carmona,Jesús Cuevas-Maraver,Fernando Fernández-Sánchez,Elisabeth García- Medina
Publisher : Springer
Page : 424 pages
File Size : 41,7 Mb
Release : 2018-09-15
Category : Science
ISBN : 9783319667669

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Nonlinear Systems, Vol. 1 by Victoriano Carmona,Jesús Cuevas-Maraver,Fernando Fernández-Sánchez,Elisabeth García- Medina Pdf

This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.

Author : M. A. Kaashoek,J. H. van Schuppen,A. C. M. Ran
Publisher : Springer Science & Business Media
Page : 684 pages
File Size : 50,9 Mb
Release : 1990
Category : Juvenile Nonfiction
ISBN : 0817634703

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Robust Control of Linear Systems and Nonlinear Control by M. A. Kaashoek,J. H. van Schuppen,A. C. M. Ran Pdf

This volume is the second of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathemat ical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989 The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The second volume contains invited papers and a large selection of other symposium presentations in the vast area of robust and nonlinear control. Modern developments in robust control and H-infinity theory, for finite as well as for infinite dimensional systems, are presented. A large part of the volume is devoted to nonlinear control. Special atten tion is paid to problems in robotics. Also the general theory of nonlinear and infinite dimensional systems is discussed. A couple of papers deal with problems of stochastic control and filterina. vi Preface The titles of the two other volumes are: Realization and Modelling in System Theory (volume 1) and Signal Processing, Scattering and Operator Theory, and Numerical Methods (volume 3).

Author : Heidar A. Talebi,Farzaneh Abdollahi,Rajni V. Patel,Khashayar Khorasani
Publisher : Springer
Page : 154 pages
File Size : 43,5 Mb
Release : 2009-12-04
Category : Technology & Engineering
ISBN : 9781441914385

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Neural Network-Based State Estimation of Nonlinear Systems by Heidar A. Talebi,Farzaneh Abdollahi,Rajni V. Patel,Khashayar Khorasani Pdf

"Neural Network-Based State Estimation of Nonlinear Systems" presents efficient, easy to implement neural network schemes for state estimation, system identification, and fault detection and Isolation with mathematical proof of stability, experimental evaluation, and Robustness against unmolded dynamics, external disturbances, and measurement noises.

Author : Albert C. J. Luo
Publisher : Springer Nature
Page : 453 pages
File Size : 48,8 Mb
Release : 2022-03-29
Category : Mathematics
ISBN : 9789811678691

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Two-Dimensional Quadratic Nonlinear Systems by Albert C. J. Luo Pdf

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

Author : Qiang Lu,Yuanzhang Sun,Shengwei Mei
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 52,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475733129

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Nonlinear Control Systems and Power System Dynamics by Qiang Lu,Yuanzhang Sun,Shengwei Mei Pdf

Nonlinear Control Systems and Power System Dynamics presents a comprehensive description of nonlinear control of electric power systems using nonlinear control theory, which is developed by the differential geometric approach and nonlinear robust control method. This book explains in detail the concepts, theorems and algorithms in nonlinear control theory, illustrated by step-by-step examples. In addition, all the mathematical formulation involved in deriving the nonlinear control laws of power systems are sufficiently presented. Considerations and cautions involved in applying nonlinear control theory to practical engineering control designs are discussed and special attention is given to the implementation of nonlinear control laws using microprocessors. Nonlinear Control Systems and Power System Dynamics serves as a text for advanced level courses and is an excellent reference for engineers and researchers who are interested in the application of modern nonlinear control theory to practical engineering control designs.

Author : Seyed Kamaleddin Yadavar Nikravesh
Publisher : CRC Press
Page : 319 pages
File Size : 46,9 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.

Author : Alberto Isidori,Francoise Lamnabhi-Lagarrigue,Witold Respondek
Publisher : Springer Science & Business Media
Page : 644 pages
File Size : 47,8 Mb
Release : 2000-11-17
Category : Technology & Engineering
ISBN : 1852333642

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Nonlinear Control in the Year 2000 by Alberto Isidori,Francoise Lamnabhi-Lagarrigue,Witold Respondek Pdf

Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design span a wide variety of topics, which include nonlinear controllability and observability, optimal control, state estimation, stability and stabilization, feedback equivalence, motion planning, noninteracting control, disturbance attenuation, asymptotic tracking. The reader will find in the book methods and results which cover a wide variety of problems: starting from pure mathematics (like recent fundamental results on (non)analycity of small balls and the distance function), through its applications to all just mentioned topics of nonlinear control, up to industrial applications of nonlinear control algorithms.

Author : Hassan K. Khalil
Publisher : Unknown
Page : 0 pages
File Size : 47,6 Mb
Release : 1996
Category : Nonlinear theories
ISBN : 0132280248

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Nonlinear Systems by Hassan K. Khalil Pdf

This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control. Updated content includes subjects which have proven useful in nonlinear control design in recent years new in the 3rd edition are: expanded treatment of passivity and passivity-based control; integral control, high-gain feedback, recursive methods, optimal stabilizing control, control Lyapunov functions, and observers. For use as a self-study or reference guide by engineers and applied mathematicians.