Computational Methods for Modeling of Nonlinear Systems

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Publisher : Academic Press
ISBN 13 : 9780121740627
Total Pages : 322 pages
Book Rating : 4.7/5 (46 download)

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Book Synopsis Computational Methods for Modeling of Nonlinear Systems by : Anatoli Torokhti

Download or read book Computational Methods for Modeling of Nonlinear Systems written by Anatoli Torokhti and published by Academic Press. This book was released on 1966-02-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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Publisher : Elsevier
ISBN 13 : 0080475388
Total Pages : 413 pages
Book Rating : 4.0/5 (84 download)

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

Download or read book Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett written by Anatoli Torokhti and published by Elsevier. This book was released on 2007-04-11 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Computational Methods for Modeling of Nonlinear Systems

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Publisher :
ISBN 13 :
Total Pages : 251 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis Computational Methods for Modeling of Nonlinear Systems by : Anatoli Torokhti

Download or read book Computational Methods for Modeling of Nonlinear Systems written by Anatoli Torokhti and published by . This book was released on 1981 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 mat.

Computational Methods for Modeling of Nonlinear Systems

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Author :
Publisher : Elsevier Science Limited
ISBN 13 : 9780124474505
Total Pages : 322 pages
Book Rating : 4.4/5 (745 download)

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Book Synopsis Computational Methods for Modeling of Nonlinear Systems by : Anatoli Torokhti

Download or read book Computational Methods for Modeling of Nonlinear Systems written by Anatoli Torokhti and published by Elsevier Science Limited. This book was released on 1967 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Vol. 1

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Author :
Publisher : Springer
ISBN 13 : 3319667661
Total Pages : 424 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Nonlinear Systems, Vol. 1 by : Victoriano Carmona

Download or read book Nonlinear Systems, Vol. 1 written by Victoriano Carmona and published by Springer. This book was released on 2018-09-15 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Methods for Nonlinear Engineering Models

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Publisher : Springer Science & Business Media
ISBN 13 : 1402099207
Total Pages : 1013 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Numerical Methods for Nonlinear Engineering Models by : John R. Hauser

Download or read book Numerical Methods for Nonlinear Engineering Models written by John R. Hauser and published by Springer Science & Business Media. This book was released on 2009-03-24 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.

Adaptive Learning Methods for Nonlinear System Modeling

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Author :
Publisher : Butterworth-Heinemann
ISBN 13 : 0128129778
Total Pages : 390 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Adaptive Learning Methods for Nonlinear System Modeling by : Danilo Comminiello

Download or read book Adaptive Learning Methods for Nonlinear System Modeling written by Danilo Comminiello and published by Butterworth-Heinemann. This book was released on 2018-06-11 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Learning Methods for Nonlinear System Modeling presents some of the recent advances on adaptive algorithms and machine learning methods designed for nonlinear system modeling and identification. Real-life problems always entail a certain degree of nonlinearity, which makes linear models a non-optimal choice. This book mainly focuses on those methodologies for nonlinear modeling that involve any adaptive learning approaches to process data coming from an unknown nonlinear system. By learning from available data, such methods aim at estimating the nonlinearity introduced by the unknown system. In particular, the methods presented in this book are based on online learning approaches, which process the data example-by-example and allow to model even complex nonlinearities, e.g., showing time-varying and dynamic behaviors. Possible fields of applications of such algorithms includes distributed sensor networks, wireless communications, channel identification, predictive maintenance, wind prediction, network security, vehicular networks, active noise control, information forensics and security, tracking control in mobile robots, power systems, and nonlinear modeling in big data, among many others. This book serves as a crucial resource for researchers, PhD and post-graduate students working in the areas of machine learning, signal processing, adaptive filtering, nonlinear control, system identification, cooperative systems, computational intelligence. This book may be also of interest to the industry market and practitioners working with a wide variety of nonlinear systems. Presents the key trends and future perspectives in the field of nonlinear signal processing and adaptive learning. Introduces novel solutions and improvements over the state-of-the-art methods in the very exciting area of online and adaptive nonlinear identification. Helps readers understand important methods that are effective in nonlinear system modelling, suggesting the right methodology to address particular issues.

Nonlinear Systems

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Author :
Publisher :
ISBN 13 : 9783319667676
Total Pages : 424 pages
Book Rating : 4.6/5 (676 download)

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Book Synopsis Nonlinear Systems by : Victoriano Carmona

Download or read book Nonlinear Systems written by Victoriano Carmona and published by . This book was released on 2018 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Design Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521621700
Total Pages : 304 pages
Book Rating : 4.6/5 (217 download)

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Book Synopsis Design Analysis by : David E. Thompson

Download or read book Design Analysis written by David E. Thompson and published by Cambridge University Press. This book was released on 1999-01-13 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 1999 text for graduate students and practising engineers, introducing mathematical modeling of engineering systems.

Nonlinear Systems

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Publisher : BoD – Books on Demand
ISBN 13 : 1789234042
Total Pages : 264 pages
Book Rating : 4.7/5 (892 download)

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Book Synopsis Nonlinear Systems by :

Download or read book Nonlinear Systems written by and published by BoD – Books on Demand. This book was released on 2018-07-18 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on several key aspects of nonlinear systems including dynamic modeling, state estimation, and stability analysis. It is intended to provide a wide range of readers in applied mathematics and various engineering disciplines an excellent survey of recent studies of nonlinear systems. With its thirteen chapters, the book brings together important contributions from renowned international researchers to provide an excellent survey of recent studies of nonlinear systems. The first section consists of eight chapters that focus on nonlinear dynamic modeling and analysis techniques, while the next section is composed of five chapters that center on state estimation methods and stability analysis for nonlinear systems.

Modeling and Control of Uncertain Nonlinear Systems with Fuzzy Equations and Z-Number

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Publisher : John Wiley & Sons
ISBN 13 : 111949155X
Total Pages : 200 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Modeling and Control of Uncertain Nonlinear Systems with Fuzzy Equations and Z-Number by : Wen Yu

Download or read book Modeling and Control of Uncertain Nonlinear Systems with Fuzzy Equations and Z-Number written by Wen Yu and published by John Wiley & Sons. This book was released on 2019-07-02 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: An original, systematic-solution approach to uncertain nonlinear systems control and modeling using fuzzy equations and fuzzy differential equations There are various numerical and analytical approaches to the modeling and control of uncertain nonlinear systems. Fuzzy logic theory is an increasingly popular method used to solve inconvenience problems in nonlinear modeling. Modeling and Control of Uncertain Nonlinear Systems with Fuzzy Equations and Z-Number presents a structured approach to the control and modeling of uncertain nonlinear systems in industry using fuzzy equations and fuzzy differential equations. The first major work to explore methods based on neural networks and Bernstein neural networks, this innovative volume provides a framework for control and modeling of uncertain nonlinear systems with applications to industry. Readers learn how to use fuzzy techniques to solve scientific and engineering problems and understand intelligent control design and applications. The text assembles the results of four years of research on control of uncertain nonlinear systems with dual fuzzy equations, fuzzy modeling for uncertain nonlinear systems with fuzzy equations, the numerical solution of fuzzy equations with Z-numbers, and the numerical solution of fuzzy differential equations with Z-numbers. Using clear and accessible language to explain concepts and principles applicable to real-world scenarios, this book: Presents the modeling and control of uncertain nonlinear systems with fuzzy equations and fuzzy differential equations Includes an overview of uncertain nonlinear systems for non-specialists Teaches readers to use simulation, modeling and verification skills valuable for scientific research and engineering systems development Reinforces comprehension with illustrations, tables, examples, and simulations Modeling and Control of Uncertain Nonlinear Systems with Fuzzy Equations and Z-Number is suitable as a textbook for advanced students, academic and industrial researchers, and practitioners in fields of systems engineering, learning control systems, neural networks, computational intelligence, and fuzzy logic control.

Computational Methods for Nonlinear Dynamical Systems

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Publisher : Elsevier
ISBN 13 : 0323991149
Total Pages : 242 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Computational Methods for Nonlinear Dynamical Systems by : Xuechuan Wang

Download or read book Computational Methods for Nonlinear Dynamical Systems written by Xuechuan Wang and published by Elsevier. This book was released on 2022-09-28 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering. Presents global methods for solving periodic nonlinear dynamical behaviors Gives local methods for solving transient nonlinear responses Outlines computational methods for linear, nonlinear, ordinary and partial differential equations Emphasizes the development of accurate and efficient numerical methods that can be used in real-world missions Reveals practical applications of methods through orbital mechanics and structural dynamics

Numerical Methods for Unconstrained Optimization and Nonlinear Equations

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Publisher : SIAM
ISBN 13 : 9781611971200
Total Pages : 394 pages
Book Rating : 4.9/5 (712 download)

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Book Synopsis Numerical Methods for Unconstrained Optimization and Nonlinear Equations by : J. E. Dennis, Jr.

Download or read book Numerical Methods for Unconstrained Optimization and Nonlinear Equations written by J. E. Dennis, Jr. and published by SIAM. This book was released on 1996-12-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or "quasi-Newton" methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems. The level of presentation is consistent throughout, with a good mix of examples and theory, making it a valuable text at both the graduate and undergraduate level. It has been praised as excellent for courses with approximately the same name as the book title and would also be useful as a supplemental text for a nonlinear programming or a numerical analysis course. Many exercises are provided to illustrate and develop the ideas in the text. A large appendix provides a mechanism for class projects and a reference for readers who want the details of the algorithms. Practitioners may use this book for self-study and reference. For complete understanding, readers should have a background in calculus and linear algebra. The book does contain background material in multivariable calculus and numerical linear algebra.

Applied Nonlinear Dynamics

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Publisher : John Wiley & Sons
ISBN 13 : 3527617558
Total Pages : 700 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Applied Nonlinear Dynamics by : Ali H. Nayfeh

Download or read book Applied Nonlinear Dynamics written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-11-20 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.

Mathematical and Computational Methods for Modelling, Approximation and Simulation

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Author :
Publisher : Springer Nature
ISBN 13 : 3030943399
Total Pages : 261 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mathematical and Computational Methods for Modelling, Approximation and Simulation by : Domingo Barrera

Download or read book Mathematical and Computational Methods for Modelling, Approximation and Simulation written by Domingo Barrera and published by Springer Nature. This book was released on 2022-05-08 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with three very different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models. The book includes nine contributions, mostly related to quasi-interpolation. This is a topic that continues to register a high level of interest, both for those working in the field of approximation theory and for those interested in its use in a practical context. Two chapters address the construction of quasi-interpolants, and three others focus on the use of quasi-interpolation in solving integral equations. The remaining four concern a problem related to the heat diffusion equation, new results on the notion of convexity in probabilistic metric spaces (which are applied to the study of the existence and uniqueness of the solution of a Volterra equation), the use of smoothing splines to address an economic problem and, finally, the analysis of poverty measures, which is a topic of increased interest to society. The book is addressed to researchers interested in Applied Mathematics, with particular reference to the aforementioned topics.

Nonlinear Systems in Heat Transfer

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Publisher : Elsevier
ISBN 13 : 0128120207
Total Pages : 288 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Nonlinear Systems in Heat Transfer by : Davood Domairry Ganji

Download or read book Nonlinear Systems in Heat Transfer written by Davood Domairry Ganji and published by Elsevier. This book was released on 2017-09-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Computational Methods for Inverse Problems

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Publisher : SIAM
ISBN 13 : 0898717574
Total Pages : 183 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Inverse Problems by : Curtis R. Vogel

Download or read book Computational Methods for Inverse Problems written by Curtis R. Vogel and published by SIAM. This book was released on 2002 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.