Log in Try for free

Follow us

English

Welcome to Bookboon

In order to provide our services we rely on a series of essential cookies to access our features.
We also use a set of 3rd party cookies that allow us to deliver a better experience.

Please read our Privacy Policy page , and if you agree, please click on the button below ot enter the site.

Home Stability Theory of Large-Scale Dynamical Systems

Stability Theory of Large-Scale Dynamical Systems

by A. A. Martynyuk V. G. Miladzhanov
Rating:
( 0 )
Write a review
238 pages
Language:
 English
This book focuses on some problems of stability theory of nonlinear large-scale systems.
This is a free eBook for students
Download free textbooks as PDF or read online. Less than 15% adverts
 
Business subscription free for the first 30 days, then $5.99/mo
Latest eBooks
About the author

Martynyuk is organizer and head of the Department of Processes Stability at the S.P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (NAS of Ukraine) since 1978.  

He developed the method of Lyapunov matrix functions as applied to uncertain s

More about A. A. Martynyuk

Professor V.G.Miladzhanov died unexpectedly on May 13, 2013 at the age of 60. Scientific results of Professor Miladzhanov are associated with the development of the method of matrix Lyapunov functions for stability investigation of systems with quick and slow motions; stability analysis of large-scale

More about V. G. Miladzhanov
Description
Content

This book focuses on some problems of stability theory of nonlinear large-scale systems. The purpose of this book is to describe some new applications of Lyapunov matrix-valued functions method to the stability of evolution problems governed by nonlinear continuous systems, discrete-time systems, impulsive systems and singularly perturbed systems under structural perturbations. The authors take a challenging and original approach based on concept of structural perturbations combined with direct Lyapunov's method. This new approach will lead to results that cannot be obtained by standard theories of stability in the field.

The Stability Theory of Large Scale Dynamical Systems addresses to specialists in dynamical systems, applied differential equations, and the stability theory. It may be useful for graduated students in mathematics, control theory, and mechanical engineering.

  1. Generalities
    1. Introduction
    2. Some Types of Large-Scale Dynamical Systems
    3. Structural Perturbations of Dynamical Systems
    4. Stability under Nonclassical Structural Perturbations
    5. Method of Stability Analysis of Motion
    6. Notes and References
  2. Continuous Large-Scale Systems
    1. Introduction
    2. Nonclassical Structural Perturbations in Time-Continuous Systems
    3. Estimates of Matrix-Valued Functions
    4. Tests for Stability Analysis
    5. Linear Systems Analysis
    6. Certain Trends of Generalizations and Applications
    7. Notes and References
  3. Discrete-Time Large-Scale Systems
    1. Introduction
    2. Nonclassical Structural Perturbations in Discrete-Time Systems
    3. Liapunov’s Matrix-Valued Functions
    4. Tests for Stability Analysis
    5. Certain Trends of Generalizations and Applications
    6. Notes and References
  4. Impulsive Large-Scale Systems
    1. Introduction
    2. Nonclassical Structural Perturbations in the Impulsive Systems
    3. Definitions of Stability
    4. Tests for Stability and Instability Analysis
    5. Linear Systems Analysis
    6. Certain Trends of Generalizations and Applications
    7. Notes and References
  5. Singularly Perturbed Large-Scale Systems
    1. Introduction
    2. Nonclassical Structural Perturbations in Singularly Perturbed Systems
    3. Tests for Stability Analysis
    4. Tests for Instability Analysis
    5. Linear Systems
    6. Certain Trends of Generalizations and Applications
    7. Notes and References
Write a review