Skip navigation

Bookboon.com Descarga eBooks y libros de texto gratis

Choose a category

Stability of Weakly Connected Nonlinear Systems

Stability of Weakly Connected Nonlinear Systems
Aún no ha sido puntuado
ISBN: 978-87-403-1859-3
1 edición
Páginas : 267
  • Price: 129,00 kr
  • Price: €13,99
  • Price: £13,99
  • Price: ₹250
  • Price: $13,99
  • Price: 129,00 kr
  • Price: 129,00 kr

Descarga GRATIS tus ebooks en 4 sencillos pasos

Lo sentimos, pero para poder descargar nuestros libros o ver nuestros vídeos, necesitas un navegador que permita JavaScript.
¿Podemos sugerirle eBooks gratuitos y noticias relevantes sobre Bookboon?
Después de introducir tu dirección de correo electrónico, recibirás un correo de confirmación. Confirma este correo para recibir el boletín de noticias mensual con respecto a libros de texto gratuitos. Los datos de contacto que nos proporciones no serán proporcionados a terceros.
eLib
Unlock your organization's learning potential
See Demo

Corporate eLibrary

Discover our employee learning solutions

This is a Premium eBook

Bookboon Premium - Gain access to over 800 eBooks - without ads

You can get free access for a month to this - and 800 other books with the Premium Subscription. You can also buy the book below

  • Start a 30-day free trial. After trial: 39,99 kr p/m
  • Start a 30-day free trial. After trial: €5,99 p/m
  • Start a 30-day free trial. After trial: £4,99 p/m
  • Start a 30-day free trial. After trial: ₹299 p/m
  • Start a 30-day free trial. After trial: $3,99 p/m
  • Start a 30-day free trial. After trial: 39,99 kr p/m
  • Start a 30-day free trial. After trial: 39,99 kr p/m
eLib
Unlock your organization's learning potential
Click here!

Corporate eLibrary

Discover our employee learning solutions

Acerca del libro

  1. Descripción
  2. Contenido

Descripción

The book consists of five chapters in which the mathematical foundations of the analysis of the stability of systems with a small parameter are given as well as methods of their investigation. The proposed methods are based on nonlinear integral inequalities, the direct Lyapunov method, using scalar, vector and matrix-valued functions, as well as the method of averaging of nonlinear mechanics. Here we also obtain sufficient conditions for various types of boundedness and stability of motion of nonlinear weakly connected systems, including systems of equations in a Banach space.

About the authors

A.A.Martynyuk is Professor and academician of the National Academy of Sciences of Ukraine Head of Stability of Processes Department at the S.P.Timoshenko Institute of Mechanics of NAS of Ukraine. The author or coauthor of more than 350 journal publications and 26 of books published in Russian, English and Chinese. He is founder and Editor of the International Journal of Nonlinear Dynamics and Systems Theory and the International Series of Scientific Monographs: Stability, Oscillations and Optimization of Systems published by the Cambridge Scientific Publishers (United Kingdom). He received D.Sc.degree (1973) in physics and mathematics from Institute of Mathematics NAS of Ukraine, Kiev. For more information see please www.martynyuk.kiev.ua.

L.N. Chernetskaya is a senior research fellow of the Department of Processes Stability of the Institute of Mechanics of the National Academy of Sciences of Ukraine. The author (co-author) of more than 100 scientific works in the field of theories of stability and motion control. Thesis defended in 1986 in the Institute of Mechanics of the National Academy of Sciences of Ukraine.

V.A. Martynyuk is a specialist in the field of nonlinear dynamics of weekly connected systems. He is the author of several scientific works published in Journal of Mathematical Analysis and Applications (USA) and International Applied Mechanics (Ukraine).

Contenido

  1. Preliminaries 
    1. Introductory Remarks 
    2. Fundamental Inequalities 
    3. Stability in the Sense of Lyapunov 
    4. Comparison Principle 
    5. Stability of Systems with a Small Parameter 
    6. Comments and References 
  2. Analysis of the Boundedness of Motion 
    1. Introductory Remarks 
    2. Statement of the Problem 
    3. μ-Boundedness with Respect to Two Measures 
    4. Boundedness and the Comparison Technique 
    5. Boundedness with Respect to a Part of Variables 
    6. Algebraic Conditions of μ-Boundedness 
    7. Applications 
    8. Comments and References 
  3. Analysis of the Stability of Motion 
    1. Introductory Remarks 
    2. Statement of the Problem 
    3. Stability with Respect to Two Measures 
    4. Equistability Via Scalar Comparison Equations 
    5. Dynamic Behavior of an Individual Subsystem 
    6. Asymptotic Behavior 
    7. Polystability of Motion 
    8. Applications 
    9. Comments and References 
  4. Stability of Weakly Perturbed Systems 
    1. Introductory Remarks 
    2. Averaging and Stability 
    3. Stability on a Finite Time Interval 
    4. Methods of Application of Auxiliary Systems 
    5. Systems with Nonasymptotically Stable Subsystems 
    6. Stability with Respect to a Part of Variables 
    7. Applications 
    8. Comments and References 
  5. Stability of Systems in Banach Spaces 
    1. Introductory Remarks 
    2. Preliminary Results 
    3. Statement of the Problem 
    4. Generalized Direct Lyapunov Method 
    5. μ-Stability of Motion of Weakly Connected Systems 
    6. Stability Analysis of a Two-Component System 
    7. Comments and References 

This website uses cookies to improve user experience. By using our website you consent to all cookies in accordance with EU regulation.