Zeroing Dynamics Gradient Dynamics And Newton Iterations

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Zeroing Dynamics, Gradient Dynamics, and Newton Iterations

Author : Yunong Zhang
Publisher : CRC Press
ISBN 13 : 1498753787
Total Pages : 338 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Zeroing Dynamics, Gradient Dynamics, and Newton Iterations by : Yunong Zhang

Download or read book Zeroing Dynamics, Gradient Dynamics, and Newton Iterations written by Yunong Zhang and published by CRC Press. This book was released on 2018-10-09 with total page 338 pages. Available in PDF, EPUB and Kindle. Book 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

Author : Yunong Zhang
Publisher : Springer Nature
ISBN 13 : 9811582572
Total Pages : 310 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Zhang-Gradient Control by : Yunong Zhang

Download or read book Zhang-Gradient Control written by Yunong Zhang and published by Springer Nature. This book was released on 2020-11-24 with total page 310 pages. Available in PDF, EPUB and Kindle. Book 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.

Zeroing Neural Networks

Author : Lin Xiao
Publisher : John Wiley & Sons
ISBN 13 : 1119986036
Total Pages : 438 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Zeroing Neural Networks by : Lin Xiao

Download or read book Zeroing Neural Networks written by Lin Xiao and published by John Wiley & Sons. This book was released on 2022-11-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zeroing Neural Networks Describes the theoretical and practical aspects of finite-time ZNN methods for solving an array of computational problems Zeroing Neural Networks (ZNN) have become essential tools for solving discretized sensor-driven time-varying matrix problems in engineering, control theory, and on-chip applications for robots. Building on the original ZNN model, finite-time zeroing neural networks (FTZNN) enable efficient, accurate, and predictive real-time computations. Setting up discretized FTZNN algorithms for different time-varying matrix problems requires distinct steps. Zeroing Neural Networks provides in-depth information on the finite-time convergence of ZNN models in solving computational problems. Divided into eight parts, this comprehensive resource covers modeling methods, theoretical analysis, computer simulations, nonlinear activation functions, and more. Each part focuses on a specific type of time-varying computational problem, such as the application of FTZNN to the Lyapunov equation, linear matrix equation, and matrix inversion. Throughout the book, tables explain the performance of different models, while numerous illustrative examples clarify the advantages of each FTZNN method. In addition, the book: Describes how to design, analyze, and apply FTZNN models for solving computational problems Presents multiple FTZNN models for solving time-varying computational problems Details the noise-tolerance of FTZNN models to maximize the adaptability of FTZNN models to complex environments Includes an introduction, problem description, design scheme, theoretical analysis, illustrative verification, application, and summary in every chapter Zeroing Neural Networks: Finite-time Convergence Design, Analysis and Applications is an essential resource for scientists, researchers, academic lecturers, and postgraduates in the field, as well as a valuable reference for engineers and other practitioners working in neurocomputing and intelligent control.

Zhang Time Discretization (ZTD) Formulas and Applications

Author : Yunong Zhang
Publisher : CRC Press
ISBN 13 : 1040091628
Total Pages : 452 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Zhang Time Discretization (ZTD) Formulas and Applications by : Yunong Zhang

Download or read book Zhang Time Discretization (ZTD) Formulas and Applications written by Yunong Zhang and published by CRC Press. This book was released on 2024-08-07 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to solve the discrete implementation problems of continuous-time neural network models while improving the performance of neural networks by using various Zhang Time Discretization (ZTD) formulas. The authors summarize and present the systematic derivations and complete research of ZTD formulas from special 3S-ZTD formulas to general NS-ZTD formulas. These finally lead to their proposed discrete-time Zhang neural network (DTZNN) algorithms, which are more efficient, accurate, and elegant. This book will open the door to scientific and engineering applications of ZTD formulas and neural networks, and will be a major inspiration for studies in neural network modeling, numerical algorithm design, prediction, and robot manipulator control. The book will benefit engineers, senior undergraduates, graduate students, and researchers in the fields of neural networks, computer mathematics, computer science, artificial intelligence, numerical algorithms, optimization, robotics, and simulation modeling.

Advances in Neural Networks - ISNN 2017

Author : Fengyu Cong
Publisher : Springer
ISBN 13 : 3319590723
Total Pages : 601 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Advances in Neural Networks - ISNN 2017 by : Fengyu Cong

Download or read book Advances in Neural Networks - ISNN 2017 written by Fengyu Cong and published by Springer. This book was released on 2017-06-12 with total page 601 pages. Available in PDF, EPUB and Kindle. Book 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.

Advances in Neural Networks – ISNN 2024

Author : Xinyi Le
Publisher : Springer Nature
ISBN 13 : 9819743990
Total Pages : 635 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Advances in Neural Networks – ISNN 2024 by : Xinyi Le

Download or read book Advances in Neural Networks – ISNN 2024 written by Xinyi Le and published by Springer Nature. This book was released on with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Machine Learning

Author : Mohssen Mohammed
Publisher : CRC Press
ISBN 13 : 1498705391
Total Pages : 227 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Machine Learning by : Mohssen Mohammed

Download or read book Machine Learning written by Mohssen Mohammed and published by CRC Press. This book was released on 2016-08-19 with total page 227 pages. Available in PDF, EPUB and Kindle. Book 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

Author : Xuefeng Zhou
Publisher : Springer Nature
ISBN 13 : 9811555036
Total Pages : 138 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis AI based Robot Safe Learning and Control by : Xuefeng Zhou

Download or read book AI based Robot Safe Learning and Control written by Xuefeng Zhou and published by Springer Nature. This book was released on 2020-06-02 with total page 138 pages. Available in PDF, EPUB and Kindle. Book 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

Author : Huanqing Wang
Publisher : Frontiers Media SA
ISBN 13 : 2889456978
Total Pages : 135 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis Neural & Bio-inspired Processing and Robot Control by : Huanqing Wang

Download or read book Neural & Bio-inspired Processing and Robot Control written by Huanqing Wang and published by Frontiers Media SA. This book was released on 2019-01-24 with total page 135 pages. Available in PDF, EPUB and Kindle. Book 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

Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 0898715342
Total Pages : 537 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Automated Solution of Differential Equations by the Finite Element Method

Author : Anders Logg
Publisher : Springer Science & Business Media
ISBN 13 : 3642230997
Total Pages : 723 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Automated Solution of Differential Equations by the Finite Element Method by : Anders Logg

Download or read book Automated Solution of Differential Equations by the Finite Element Method written by Anders Logg and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 723 pages. Available in PDF, EPUB and Kindle. Book 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.

Vehicle Crash Mechanics

Author : Matthew Huang
Publisher : CRC Press
ISBN 13 : 142004186X
Total Pages : 499 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Vehicle Crash Mechanics by : Matthew Huang

Download or read book Vehicle Crash Mechanics written by Matthew Huang and published by CRC Press. This book was released on 2002-06-19 with total page 499 pages. Available in PDF, EPUB and Kindle. Book 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 s

Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics

Author : Bruce J Berne
Publisher : World Scientific
ISBN 13 : 9814496057
Total Pages : 881 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics by : Bruce J Berne

Download or read book Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics written by Bruce J Berne and published by World Scientific. This book was released on 1998-06-17 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: The school held at Villa Marigola, Lerici, Italy, in July 1997 was very much an educational experiment aimed not just at teaching a new generation of students the latest developments in computer simulation methods and theory, but also at bringing together researchers from the condensed matter computer simulation community, the biophysical chemistry community and the quantum dynamics community to confront the shared problem: the development of methods to treat the dynamics of quantum condensed phase systems.This volume collects the lectures delivered there. Due to the focus of the school, the contributions divide along natural lines into two broad groups: (1) the most sophisticated forms of the art of computer simulation, including biased phase space sampling schemes, methods which address the multiplicity of time scales in condensed phase problems, and static equilibrium methods for treating quantum systems; (2) the contributions on quantum dynamics, including methods for mixing quantum and classical dynamics in condensed phase simulations and methods capable of treating all degrees of freedom quantum-mechanically.

TEXTBOOK OF FINITE ELEMENT ANALYSIS

Author : P. SESHU
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120323157
Total Pages : 340 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis TEXTBOOK OF FINITE ELEMENT ANALYSIS by : P. SESHU

Download or read book TEXTBOOK OF FINITE ELEMENT ANALYSIS written by P. SESHU and published by PHI Learning Pvt. Ltd.. This book was released on 2003-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.

Numerical Methods for Large Eigenvalue Problems

Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 9781611970739
Total Pages : 292 pages
Book Rating : 4.9/5 (77 download)

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Book Synopsis Numerical Methods for Large Eigenvalue Problems by : Yousef Saad

Download or read book Numerical Methods for Large Eigenvalue Problems written by Yousef Saad and published by SIAM. This book was released on 2011-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.

Advanced Models of Neural Networks

Author : Gerasimos G. Rigatos
Publisher : Springer
ISBN 13 : 3662437643
Total Pages : 296 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Advanced Models of Neural Networks by : Gerasimos G. Rigatos

Download or read book Advanced Models of Neural Networks written by Gerasimos G. Rigatos and published by Springer. This book was released on 2014-08-27 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete study on neural structures exhibiting nonlinear and stochastic dynamics, elaborating on neural dynamics by introducing advanced models of neural networks. It overviews the main findings in the modelling of neural dynamics in terms of electrical circuits and examines their stability properties with the use of dynamical systems theory. It is suitable for researchers and postgraduate students engaged with neural networks and dynamical systems theory.

Numerical Methods for Nonsmooth Dynamical Systems

Author : Vincent Acary
Publisher : Springer Science & Business Media
ISBN 13 : 3540753923
Total Pages : 529 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Numerical Methods for Nonsmooth Dynamical Systems by : Vincent Acary

Download or read book Numerical Methods for Nonsmooth Dynamical Systems written by Vincent Acary and published by Springer Science & Business Media. This book was released on 2008-01-30 with total page 529 pages. Available in PDF, EPUB and Kindle. Book 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.