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Author : Fossard,
Publisher : Elsevier Masson
ISBN 13 : 9782225852381
Total Pages : 244 pages
Book Rating : 4.8/5 (523 download)
Download or read book Nonlinear systems Tome 2 written by Fossard, and published by Elsevier Masson. This book was released on 1996 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Norbert Euler
Publisher : CRC Press
ISBN 13 : 0429554303
Total Pages : 541 pages
Book Rating : 4.4/5 (295 download)
Download or read book Nonlinear Systems and Their Remarkable Mathematical Structures written by Norbert Euler and published by CRC Press. This book was released on 2019-12-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Dongbin Lee
Publisher : BoD – Books on Demand
ISBN 13 : 9535127144
Total Pages : 366 pages
Book Rating : 4.5/5 (351 download)
Download or read book Nonlinear Systems written by Dongbin Lee and published by BoD – Books on Demand. This book was released on 2016-10-19 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach. Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a nonlinear control system.Chapters 10 and 11 present the control of nonlinear dynamic systems, twin-rotor helicopter and 3D crane system, which are both underactuated, cascaded dynamic systems. Chapter 12 applies controls to antisynchronization/synchronization in the chaotic models based on Lyapunov exponent theorem, and Chapter 13 discusses developed stability analytic approaches in terms of Lyapunov stability. The analysis of economic activities, especially the relationship between stock return and economic growth, is presented in Chapter 14.
Author : Vangipuram Lakshmikantham
Publisher : Birkhäuser
ISBN 13 : 3319272004
Total Pages : 339 pages
Book Rating : 4.3/5 (192 download)
Download or read book Stability Analysis of Nonlinear Systems written by Vangipuram Lakshmikantham and published by Birkhäuser. This book was released on 2015-12-29 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Juan F. R. Archilla
Publisher : Springer
ISBN 13 : 3319722182
Total Pages : 350 pages
Book Rating : 4.3/5 (197 download)
Download or read book Nonlinear Systems, Vol. 2 written by Juan F. R. Archilla and published by Springer. This book was released on 2017-12-21 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : CRC Press
ISBN 13 : 9780367208479
Total Pages : 540 pages
Book Rating : 4.2/5 (84 download)
Download or read book Nonlinear Systems and Their Remarkable Mathematical Structures Volume II written by Norbert Euler and published by CRC Press. This book was released on 2019-11-19 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Hassan K. Khalil
Publisher : MacMillan Publishing Company
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nonlinear Systems written by Hassan K. Khalil and published by MacMillan Publishing Company. This book was released on 1992 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Albert C. J. Luo
Publisher : Springer Nature
ISBN 13 : 9811678693
Total Pages : 453 pages
Book Rating : 4.8/5 (116 download)
Download or read book Two-Dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by Springer Nature. This book was released on 2022-03-29 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Rossitza Setchi
Publisher : Springer Science & Business Media
ISBN 13 : 3642153895
Total Pages : 682 pages
Book Rating : 4.6/5 (421 download)
Download or read book Knowledge-Based and Intelligent Information and Engineering Systems written by Rossitza Setchi and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set LNAI 6276--6279 constitutes the refereed proceedings of the 14th International Conference on Knowledge-Based Intelligent Information and Engineering Systems, KES 2010, held in Cardiff, UK, in September 2010. The 272 revised papers presented were carefully reviewed and selected from 360 submissions. They present the results of high-quality research on a broad range of intelligent systems topics.
Author : Guanrong Chen
Publisher : World Scientific
ISBN 13 : 9811279004
Total Pages : 234 pages
Book Rating : 4.8/5 (112 download)
Download or read book Nonlinear Systems: Stability, Dynamics And Control written by Guanrong Chen and published by World Scientific. This book was released on 2023-06-28 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of nonlinear systems is fundamental to the study of systems engineering. So extensive investigations have been carried out by both the nonlinear control and nonlinear dynamics communities, but the focus can be different — on controllers design and dynamics analysis, respectively. The last two decades have witnessed the gradual merging of control theory and dynamics analysis, but not yet to the extent of controlling nonlinear dynamics such as bifurcations and chaos. This monograph is an attempt to fill that gap while presenting a rather comprehensive coverage of the fundamental nonlinear systems theory in a self-contained and approachable manner.This introductory treatise is written for self-study and, in particular, as an elementary textbook that can be taught in a one-semester course to advanced undergraduates or entrance level graduates with curricula focusing on nonlinear systems, both on control theory and dynamics analysis.
Author : Albert C. J. Luo
Publisher : Springer Nature
ISBN 13 : 9811678731
Total Pages : 692 pages
Book Rating : 4.8/5 (116 download)
Download or read book Two-Dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by Springer Nature. This book was released on 2023-04-19 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert’s sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.
Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 9780521406680
Total Pages : 354 pages
Book Rating : 4.4/5 (66 download)
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.
Author : M. Vidyasagar
Publisher : SIAM
ISBN 13 : 0898715261
Total Pages : 511 pages
Book Rating : 4.8/5 (987 download)
Download or read book Nonlinear Systems Analysis written by M. Vidyasagar and published by SIAM. This book was released on 2002-10-01 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations.
Author : Roberto Conti
Publisher : Springer
ISBN 13 : 3540398171
Total Pages : 419 pages
Book Rating : 4.5/5 (43 download)
Download or read book Optimization and Related Fields written by Roberto Conti and published by Springer. This book was released on 2006-11-14 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Gössel
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112735978
Total Pages : 116 pages
Book Rating : 4.1/5 (127 download)
Download or read book Nonlinear Time-discrete Systems written by M. Gössel and published by Walter de Gruyter GmbH & Co KG. This book was released on 1983-01-14 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Nonlinear Time-discrete Systems".
Author : George Dinca
Publisher : Springer Nature
ISBN 13 : 303063230X
Total Pages : 462 pages
Book Rating : 4.0/5 (36 download)
Download or read book Brouwer Degree written by George Dinca and published by Springer Nature. This book was released on 2021-05-11 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. Brouwer Degree will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.
Author : Helge Holden
Publisher : Springer Science & Business Media
ISBN 13 : 3642013732
Total Pages : 329 pages
Book Rating : 4.6/5 (42 download)
Download or read book The Abel Prize written by Helge Holden and published by Springer Science & Business Media. This book was released on 2009-12-01 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the first five Abel Prizes in mathematics: 2003 Jean-Pierre Serre; 2004 Sir Michael Atiyah and Isadore Singer; 2005 Peter D. Lax; 2006 Lennart Carleson; and 2007 S.R. Srinivasa Varadhan. Each laureate provides an autobiography or an interview, a curriculum vitae, and a complete bibliography. This is complemented by a scholarly description of their work written by leading experts in the field and by a brief history of the Abel Prize. Interviews with the laureates can be found at http://extras.springer.com .
