Stability of nonlinear control systems. by Solomon Lefschetzah

Cover of: Stability of nonlinear control systems. | Solomon Lefschetzah

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Written in English

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Book details

SeriesMathematics in science and engineering series;no.13
The Physical Object
Pagination150p.,24cm
Number of Pages150
ID Numbers
Open LibraryOL20897024M

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Nonlinear Systems: Analysis, Stability, and Control (Interdisciplinary Applied Mathematics) th EditionCited by:   Stability of Nonlinear Control Systems Paperback – Ap by Solomon Lefschetz (Author)Cited by: Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of stability and feedback stabilization methods, which enables the reader to learn and understand major techniques used in mathematical control by: This includes nonlinear control systems with multiple controls, interval control systems, time-delay and neutral Lurie control systems, systems described by functional differential equations, the absolute stability for neural networks, as well as applications to chaos control and chaos synchronization.

This book is aimed at undergraduates and lecturers in the areas of applied mathematics, nonlinear control systems and chaos control Cited by:   Purchase Stability of Nonlinear Control Systems, Volume 13 - 1st Edition. Print Book & E-Book.

Stability of nonlinear control systems. book ISBNBook Edition: 1. Chapter 5 deals with the absolute stability of control systems with m nonlinear control terms. Chapter 6 devotes itself to the absolute stability of control systems described by functional differential equations.

The book concludes with a useful bibliography. For applied mathematicians, and engineers whose work involves control cturer: Springer. This includes nonlinear control systems with multiple controls, interval control systems, time-delay and neutral Lurie control systems, systems described by functional differential equations, the absolute stability for neural networks, as well as applications to chaos control and chaos synchronization.

This book. Nonlinear Systems Analysis, Stability, and Control. Authors: Sastry, S.S. deal of excitement in the last ten years over the emer­ gence of new mathematical techniques for the analysis and control of nonlinear systems Brand: Springer-Verlag New York.

There has been a great deal of excitement in the last ten years over the emer­ gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop­ ment of a comprehensive theory of geometric nonlinear control.

About this book. Introduction. Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of stability and feedback stabilization methods, which enables the reader to learn and understand major techniques used in mathematical control theory.

Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of stability and feedback stabilization methods, which enables the reader Stability of nonlinear control systems.

book learn and understand major techniques used in mathematical control. The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach/5(6).

Control of nonlinear systems is a multidisciplinary field involving electrical engineering, computer science, and control engineering. Specifically, this book addresses uncertain nonlinearity.

Beginning. Search in this book series. Stability of Nonlinear Control Systems. Edited by Solomon Lefschetz. Vol Pages iii-vii, () Download full volume. Previous volume. Next volume. Actions. There has been a great deal of excitement in the last ten years over the emer- gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence /5.

About this book Introduction This advanced textbook introduces the main concepts and advances in systems and control theory, and highlights the importance of geometric ideas in the context of possible extensions to the more recent developments in nonlinear systems theory.

This paper deals with the design of output feedback control to stabilize the cutting force of the nonlinear end milling process.

The control design is based on criteria to be satisfied by the geometric conditions of the nonlinear system. The conditions will ensure that the closed loop of control system. This is a good book devoted to nonlinear ed to Vidyasagar's book, this book has more mathematical rigour, therefore, to follow it you should have a good Calculus/Linear Algebra Nonlinear Systems: Analysis, Stability, and Control (Interdisciplinary File Size: KB.

Nonlinear systems Khalil - Prentice-Hall, Probably the best book to start with nonlinear control Nonlinear systems S. Sastry - Springer Verlag, Good general book, a bit harder than Khalil’s Mathematical Control. I would like to study regarding control of linear and nonlinear systems in detail.

So, please suggest me some books which can provide in-depth knowledge regarding it. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory.

The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory.

main concerns in nonlinear dynamics and control systems: the stability of a system with respect to its equilibria, the orbital stability of a system output trajectory, and the structural stability of a system itself.

The basic concept of stability emerged from the study of an equilibrium state of a mechanical system. This paper deals with the fuzzy control design for nonlinear impulsive switched systems modeled by a novel nonlinear Takagi-Sugeno (T-S) fuzzy structure.

To model, this structure only uses some of. 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 Author: Mahmut Reyhanoglu. Get this from a library. Nonlinear system: analysis, stability, and control. [Shankar Sastry] -- "There has been a great deal of excitement over the last ten years concerning the emergence of new mathematical techniques for the analysis and control of nonlinear systems.

Practical Stability of Nonlinear Systems by V. Lakshmikantham. This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability. trical circuits, mechanical systems, control systems, and other engineering disciplines, they need to be able to use a wide range of nonlinear analysis tools.

Despite the fact that these tools have developed rapidly since the mid s, nonlinear control File Size: 3MB. Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or l theory is an interdisciplinary branch of engineering and mathematics that is concerned with the behavior of dynamical systems.

The book is concerned with the effects of nonlinearity in feedback control systems and techniques which can be used to design feedback loops containing nonlinear elements. After a short introductory chapter on nonlinearity and its possible effects the use of phase plane methods for nonlinear second order systems /5(21).

Operator-based nonlinear control systems with smart actuators Nonlinear feedback control for large-scale systems using a distributed control system device Throughout the book, discussions of actual.

phase-plane analysis describes nonlinear phenomena such as limit cycles and multiple equilibria of second-order systems in an efficient manner. The theory of differential equations has led to a highly developed stability theory for some classes of nonlinear systems. (Though, of course, an engineer cannot live by stability.

Additional Physical Format: Online version: Lefschetz, Solomon, Stability of nonlinear control systems. New York, Academic Press, (nonlinear stability analysis) Question #2: can we design a stabilizing nonlinear controller based on the nonlinear open-loop process.

(nonlinear control design) This lecture is based on the book “Applied Nonlinear Control. Without stability, a system will not have value. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis of nonlinear systems.

It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability. Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods.

Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems. Nonlinear Control Systems. Nonlinear control systems can be represented as follows:()yk+1=F(xk)+Guk,()F(xk)=F(yk,yk−1,yk−z+1), where yk is the output of the system, F is a nonlinear function, xk are the states, G is the input matrix, uk are the inputs to the system, and z is the dimension of the system.

This includes nonlinear control systems with multiple controls, interval control systems, time-delay and neutral Lurie control systems, systems described by functional differential equations, the absolute stability for neural networks, as well as applications to chaos control and chaos synchronization.\" \"This book.

Introduction to Linear Control Systems is designed as a standard introduction to linear control systems for all those who one way or another deal with control systems. It can be used as a comprehensive up-to-date textbook for a one-semester 3-credit undergraduate course on linear control systems.

Genre/Form: Electronic books: Additional Physical Format: Print version: Lefschetz, Solomon, Stability of nonlinear control systems.

New York, Academic. Abstract. Chapter 3 studies classical nonlinear system control methods, such as feedback control and backstepping control. First, for a class of nonlinear system, feedback controller is designed based on Lyapunov stability theory, to achieve asymptotic stability of the closed-loop systems.

objective is to present the fundamental results of modern nonlinear control while keeping the mathematical complexity to a minimum, and to demonstrate their use and implications in the design of practical nonlinear control systems.

Although a major motivation of this book is to detail the many recent developments in nonlinear control.Stability in Nonlinear Control Systems. Aleksandr Mikhailovich Letov. Hardcover ISBN: $/£ Paperback ISBN: $/£ These editions preserve the original texts of these important books .Nonlinear Dynamics: A Primer by Alfredo Medio and Marji Lines, this book provides a systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and.

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