Zeroing Dynamics  Gradient Dynamics  and Newton Iterations Book

Zeroing Dynamics Gradient Dynamics and Newton Iterations

  • Author : Yunong Zhang
  • Publisher : CRC Press
  • Release Date : 2018-10-09
  • Genre: Mathematics
  • Pages : 310
  • ISBN 10 : 9781498753784

Zeroing Dynamics Gradient Dynamics and Newton Iterations Excerpt :

Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems. Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals. The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Zhang Gradient Control Book

Zhang Gradient Control

  • Author : Yunong Zhang
  • Publisher : Springer Nature
  • Release Date : 2020-11-24
  • Genre: Technology & Engineering
  • Pages : 282
  • ISBN 10 : 9789811582578

Zhang Gradient Control Excerpt :

This book introduces readers to using the simple but effective Zhang-gradient (ZG) method to solve tracking-control problems concerning various nonlinear systems, while also highlighting the applications of the ZG method to tracking control for practical systems, e.g. an inverted-pendulum-on-a-cart (IPC) system and a two-wheeled mobile robot (showing its potential applications). In addition to detailed theoretical analyses of ZG controllers, the book presents a wealth of computer simulations to demonstrate the feasibility and efficacy of the controllers discussed (as well as the method itself). More importantly, the superiority of ZG controllers in overcoming the division-by-zero (DBZ) problem is also illustrated. Given its scope and format, the book is well suited for undergraduate and graduate students, as well as academic and industrial researchers in the fields of neural dynamics/neural networks, nonlinear control, computer mathematics, time-varying problem solving, modeling and simulation, analog hardware, and robotics.

Advances in Neural Networks   ISNN 2017 Book

Advances in Neural Networks ISNN 2017

  • Author : Fengyu Cong
  • Publisher : Springer
  • Release Date : 2017-06-12
  • Genre: Computers
  • Pages : 583
  • ISBN 10 : 9783319590721

Advances in Neural Networks ISNN 2017 Excerpt :

This book constitutes the refereed proceedings of the 14th International Symposium on Neural Networks, ISNN 2017, held in Sapporo, Hakodate, and Muroran, Hokkaido, Japan, in June 2017. The 135 revised full papers presented in this two-volume set were carefully reviewed and selected from 259 submissions. The papers cover topics like perception, emotion and development, action and motor control, attractor and associative memory, neurodynamics, complex systems, and chaos.

Machine Learning Book

Machine Learning

  • Author : Mohssen Mohammed
  • Publisher : CRC Press
  • Release Date : 2016-08-19
  • Genre: Computers
  • Pages : 226
  • ISBN 10 : 9781498705394

Machine Learning Excerpt :

Machine learning, one of the top emerging sciences, has an extremely broad range of applications. However, many books on the subject provide only a theoretical approach, making it difficult for a newcomer to grasp the subject material. This book provides a more practical approach by explaining the concepts of machine learning algorithms and describing the areas of application for each algorithm, using simple practical examples to demonstrate each algorithm and showing how different issues related to these algorithms are applied.

AI based Robot Safe Learning and Control Book

AI based Robot Safe Learning and Control

  • Author : Xuefeng Zhou
  • Publisher : Springer Nature
  • Release Date : 2020-06-02
  • Genre: Technology & Engineering
  • Pages : 127
  • ISBN 10 : 9789811555039

AI based Robot Safe Learning and Control Excerpt :

This open access book mainly focuses on the safe control of robot manipulators. The control schemes are mainly developed based on dynamic neural network, which is an important theoretical branch of deep reinforcement learning. In order to enhance the safety performance of robot systems, the control strategies include adaptive tracking control for robots with model uncertainties, compliance control in uncertain environments, obstacle avoidance in dynamic workspace. The idea for this book on solving safe control of robot arms was conceived during the industrial applications and the research discussion in the laboratory. Most of the materials in this book are derived from the authors’ papers published in journals, such as IEEE Transactions on Industrial Electronics, neurocomputing, etc. This book can be used as a reference book for researcher and designer of the robotic systems and AI based controllers, and can also be used as a reference book for senior undergraduate and graduate students in colleges and universities.

Neural   Bio inspired Processing and Robot Control Book

Neural Bio inspired Processing and Robot Control

  • Author : Huanqing Wang
  • Publisher : Frontiers Media SA
  • Release Date : 2019-01-24
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : 9782889456970

Neural Bio inspired Processing and Robot Control Excerpt :

This Research Topic presents bio-inspired and neurological insights for the development of intelligent robotic control algorithms. This aims to bridge the inter-disciplinary gaps between neuroscience and robotics to accelerate the pace of research and development.

Iterative Methods for Sparse Linear Systems Book

Iterative Methods for Sparse Linear Systems

  • Author : Yousef Saad
  • Publisher : SIAM
  • Release Date : 2003-04-01
  • Genre: Mathematics
  • Pages : 528
  • ISBN 10 : 9780898715347

Iterative Methods for Sparse Linear Systems Excerpt :

Mathematics of Computing -- General.

Numerical Methods for Fluid Dynamics Book

Numerical Methods for Fluid Dynamics

  • Author : Dale R. Durran
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-09-14
  • Genre: Mathematics
  • Pages : 516
  • ISBN 10 : 9781441964120

Numerical Methods for Fluid Dynamics Excerpt :

This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Numerical Methods for Nonsmooth Dynamical Systems Book

Numerical Methods for Nonsmooth Dynamical Systems

  • Author : Vincent Acary
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-01-30
  • Genre: Technology & Engineering
  • Pages : 525
  • ISBN 10 : 9783540753926

Numerical Methods for Nonsmooth Dynamical Systems Excerpt :

This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.

Templates for the Solution of Linear Systems Book

Templates for the Solution of Linear Systems

  • Author : Richard Barrett
  • Publisher : SIAM
  • Release Date : 1994-01-01
  • Genre: Mathematics
  • Pages : 141
  • ISBN 10 : 1611971535

Templates for the Solution of Linear Systems Excerpt :

In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire. Templates offer three distinct advantages: they are general and reusable; they are not language specific; and they exploit the expertise of both the numerical analyst, who creates a template reflecting in-depth knowledge of a specific numerical technique, and the computational scientist, who then provides "value-added" capability to the general template description, customizing it for specific needs. For each template that is presented, the authors provide: a mathematical description of the flow of algorithm; discussion of convergence and stopping criteria to use in the iteration; suggestions for applying a method to special matrix types; advice for tuning the template; tips on parallel implementations; and hints as to when and why a method is useful.

Vehicle Crash Mechanics Book

Vehicle Crash Mechanics

  • Author : Matthew Huang
  • Publisher : CRC Press
  • Release Date : 2002-06-19
  • Genre: Technology & Engineering
  • Pages : 504
  • ISBN 10 : 9781420041866

Vehicle Crash Mechanics Excerpt :

Governed by strict regulations and the intricate balance of complex interactions among variables, the application of mechanics to vehicle crashworthiness is not a simple task. It demands a solid understanding of the fundamentals, careful analysis, and practical knowledge of the tools and techniques of that analysis. Vehicle Crash Mechanics sets forth the basic principles of engineering mechanics and applies them to the issue of crashworthiness. The author studies the three primary elements of crashworthiness: vehicle, occupant, and restraint. He illustrates their dynamic interactions through analytical models, experimental methods, and test data from actual crash tests. Parallel development of the analysis of actual test results and the interpretation of mathematical models related to the test provides insight into the parameters and interactions that influence the results. Detailed case studies present real-world crash tests, accidents, and the effectiveness of air bag and crash sensing systems. Design analysis formulas and two- and three-dimensional charts help in visualizing the complex interactions of the design variables. Vehicle crashworthiness is a complex, multifaceted area of study. Vehicle Crash Mechanics clarifies its complexities. The book builds a solid foundation and presents up-to-date techniques needed to meet the ultimate goal of crashworthiness analysis and experimentation: to satisfy and perhaps exceed the safety requirements mandated by law.

Hybrid High Order Methods Book

Hybrid High Order Methods

  • Author : Matteo Cicuttin
  • Publisher : Springer Nature
  • Release Date : 2021-11-11
  • Genre: Mathematics
  • Pages : 136
  • ISBN 10 : 9783030814779

Hybrid High Order Methods Excerpt :

This book provides a comprehensive coverage of hybrid high-order methods for computational mechanics. The first three chapters offer a gentle introduction to the method and its mathematical foundations for the diffusion problem. The next four chapters address applications of increasing complexity in the field of computational mechanics: linear elasticity, hyperelasticity, wave propagation, contact, friction, and plasticity. The last chapter provides an overview of the main implementation aspects including some examples of Matlab code. The book is primarily intended for graduate students, researchers, and engineers working in related fields of application, and it can also be used as a support for graduate and doctoral lectures.

Normal Modes and Localization in Nonlinear Systems Book

Normal Modes and Localization in Nonlinear Systems

  • Author : Alexander F. Vakakis
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Science
  • Pages : 294
  • ISBN 10 : 9789401724524

Normal Modes and Localization in Nonlinear Systems Excerpt :

The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the single-mode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ¢n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ¢n. Therefore, in the case of large-amplitude oscillations, the single-mode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.

Automated Solution of Differential Equations by the Finite Element Method Book

Automated Solution of Differential Equations by the Finite Element Method

  • Author : Anders Logg
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-02-24
  • Genre: Computers
  • Pages : 731
  • ISBN 10 : 9783642230998

Automated Solution of Differential Equations by the Finite Element Method Excerpt :

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.