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Qualitative and Quantitative Analysis of Nonlinear Systems

Qualitative and Quantitative Analysis of Nonlinear Systems PDF Author: Michael Z. Zgurovsky
Publisher: Springer
ISBN: 3319598406
Category : Technology & Engineering
Languages : en
Pages : 265

Book Description
Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.

Qualitative and Quantitative Analysis of Nonlinear Systems

Qualitative and Quantitative Analysis of Nonlinear Systems PDF Author: Michael Z. Zgurovsky
Publisher: Springer
ISBN: 3319598406
Category : Technology & Engineering
Languages : en
Pages : 265

Book Description
Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.

Nonlinear and Optimal Control Systems

Nonlinear and Optimal Control Systems PDF Author: Thomas L. Vincent
Publisher: John Wiley & Sons
ISBN: 9780471042358
Category : Science
Languages : en
Pages : 584

Book Description
Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.

Nonlinear Systems

Nonlinear Systems PDF Author: A.J. Fossard
Publisher: Springer Science & Business Media
ISBN: 1461520479
Category : Technology & Engineering
Languages : en
Pages : 227

Book Description
Nonlinear Systems is divided into three volumes. The first deals with modeling and estimation, the second with stability and stabilization and the third with control. This three-volume set provides the most comprehensive and detailed reference available on nonlinear systems. Written by a group of leading experts in the field, drawn from industry, government and academic institutions, it provides a solid theoretical basis on nonlinear control methods as well as practical examples and advice for engineers, teachers and researchers working with nonlinear systems. Each book focuses on the applicability of the concepts introduced and keeps the level of mathematics to a minimum. Simulations and industrial examples drawn from aerospace as well as mechanical, electrical and chemical engineering are given throughout.

Los Alamos Science

Los Alamos Science PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 614

Book Description


An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications PDF Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Category : Mathematics
Languages : en
Pages : 642

Book Description
This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

Analysis and Control of Nonlinear Systems with Stationary Sets

Analysis and Control of Nonlinear Systems with Stationary Sets PDF Author: Jinzhi Wang
Publisher: World Scientific
ISBN: 9812814698
Category : Mathematics
Languages : en
Pages : 334

Book Description
Nonlinear systems with stationary sets are important because they cover a lot of practical systems in engineering. Previous analysis has been based on the frequency-domain for this class of systems. However, few results on robustness analysis and controller design for these systems are easily available. This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.

Fundamentals of Vibrations

Fundamentals of Vibrations PDF Author: Leonard Meirovitch
Publisher: Waveland Press
ISBN: 1478609656
Category : Technology & Engineering
Languages : en
Pages : 825

Book Description
Fundamentals of Vibrations provides a comprehensive coverage of mechanical vibrations theory and applications. Suitable as a textbook for courses ranging from introductory to graduate level, it can also serve as a reference for practicing engineers. Written by a leading authority in the field, this volume features a clear and precise presentation of the material and is supported by an abundance of physical explanations, many worked-out examples, and numerous homework problems. The modern approach to vibrations emphasizes analytical and computational solutions that are enhanced by the use of MATLAB. The text covers single-degree-of-freedom systems, two-degree-of-freedom systems, elements of analytical dynamics, multi-degree-of-freedom systems, exact methods for distributed-parameter systems, approximate methods for distributed-parameter systems, including the finite element method, nonlinear oscillations, and random vibrations. Three appendices provide pertinent material from Fourier series, Laplace transformation, and linear algebra.

An Introduction to Dynamical Systems and Chaos

An Introduction to Dynamical Systems and Chaos PDF Author: G. C. Layek
Publisher: Springer Nature
ISBN: 9819976952
Category :
Languages : en
Pages : 701

Book Description


Stanislaw Ulam 1909-1984

Stanislaw Ulam 1909-1984 PDF Author:
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 326

Book Description


Applied Nonlinear Control

Applied Nonlinear Control PDF Author: Jean-Jacques E. Slotine
Publisher:
ISBN: 9780130400499
Category : Automatic control
Languages : en
Pages : 461

Book Description
In this work, the authors present a global perspective on the methods available for analysis and design of non-linear control systems and detail specific applications. They provide a tutorial exposition of the major non-linear systems analysis techniques followed by a discussion of available non-linear design methods.