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2 edition of On the stability analysis of nonlinear systems found in the catalog.

On the stability analysis of nonlinear systems

Banks, Stephen P.

On the stability analysis of nonlinear systems

by Banks, Stephen P.

  • 233 Want to read
  • 31 Currently reading

Published by University of Sheffield, Dept. of Control Engineering in Sheffield .
Written in English


Edition Notes

StatementS.P. Banks and Zhang Yi.
SeriesResearch report / University of Sheffield. Department of Control Engineering -- no.389, Research report (University of Sheffield. Department of Control Engineering) -- no.389.
ContributionsYi, Zhang.
ID Numbers
Open LibraryOL13964068M

  Direct Methods for Stability Analysis of Electric Power Systems: Theoretical Foundation, BCU Methodologies, and Applications. About this book. Professor Chiang's research focuses on nonlinear system theory and nonlinear computations and their practical applications to electric circuits, systems, signals, and images.   Nonlinear Systems Stability Analysis: Lyapunov-Based Approachintroduces 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 analysis methods using Lyapunov by:

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.4/5(4).   Nonlinear System Analysis focuses on the study of systems whose behavior is governed by nonlinear differential equations. This book is composed of nine chapters that cover some problems that play a major role in engineering and physics. The opening chapter briefly introduces the difference between linear and nonlinear Edition: 1.

Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems. Authors (view affiliations) V. Lakshmikantham; k Downloads; Part of the Mathematics and Its Applications book series (MAIA, volume 63) Log in to check access. Buy eBook. USD Instant download Mathematica Nonlinear system logic stability. Authors and. 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.


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On the stability analysis of nonlinear systems by Banks, Stephen P. Download PDF EPUB FB2

Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.

Enter your mobile number or email address below and we'll send you a link to download the free Kindle by: Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.

Stability Analysis of Nonlinear Systems (Chapman & Hall Pure and Applied Mathematics) 1st Edition by V. Lakshmikantham (Author) ISBN ISBN Why is ISBN important. ISBN.

This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Stability Analysis of Nonlinear Systems Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A.

Martynyuk The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme.

Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis On the stability analysis of nonlinear systems book nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods.

Nonlinear Systems Analysis, Stability, and Control. Authors: Sastry, S.S. 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 Brand: Springer-Verlag New York.

Nonlinear controllaws have been implemented for sophisticated flight control systems on board helicopters, and vertical take offand landing aircraft; adaptive, nonlinearcontrollaws havebeen implementedfor robot manipulators operating either singly, or in cooperation on a multi-fingered robot hand; adaptive control laws have been implemented forjetengines andautomotive fuel injection systems, as well as for automated highway systems and air traffic management systems.

Nonlinear System Analysis focuses on the study of systems whose behavior is governed by nonlinear differential equations. This book is composed of nine chapters that cover some problems that play a major role in engineering and physics.

The opening chapter briefly introduces the difference between linear and nonlinear systems. UCTION Stability criteria for nonlinear systems • First Lyapunov criterion (reduced method): the stability analysis of an equilibrium point x0 is done studying the stability of the corresponding linearized system in the vicinity of the equilibrium Size: KB.

Linear stability analysis of continuous-time nonlinear systems. Find an equilibrium point of the system you are interested in. Calculate the Jacobian matrix of the system at the equilibrium point.

Calculate the eigenvalues of the Jacobian matrix. If the real part of the dominant eigenvalue is. 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.

This book is more of a reference book for nonlinear systems. It requires a fair amount of mathematical background, unlike the book by Khalil, which assumes nothing about the reader. The exercises are different and the interested reader will definitely be led to read more on the problems 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 theory.

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 analysis methods using Lyapunov by: Lyapunov Analysis (Understanding Complex Systems) The Global Nonlinear Stability of the Minkowski Space (PMS) (Princeton Legacy Library) Global Propagation of Regular Nonlinear Hyperbolic Waves (Progress in Nonlinear Differential Equations and Their Applications, No.

76) AnFile Size: KB. 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.

There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are /5.

ISBN: OCLC Number: Description: ix, pages ; 24 cm. Contents: Investigates stability theory in terms of two different measures, treats the theory of a variety of inequalities, and demonstrates manifestations of the general Lyapunov method.

Nonlinear systems: analysis, stability, and control bolstered the impact of analytic advances and produced a tremendous variety of new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.

When the first edition of this book was published, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic by:.

This book focuses on the stability analysis of Markovian jump systems (MJSs) with various settings and discusses its applications in several different areas. (MJLSs), the asynchronous stability of a class of nonlinear systems, the robust adaptive control scheme for a class of nonlinear uncertain MJSs, the practical stability of MJSs and its.Furthermore, observer design for nonlinear singular systems was studied and some observer design methods were proposed by the obtained stability results and convex optimization algorithms.

Finally, absolute stability and multi-objective control of nonlinear singularly perturbed systems were considered.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 analysis methods using Lyapunov approaches.