My Wish Lists Login / Join

Stability Analysis in Terms of Two Measures

By: Vangipuram Lakshmikantham, Xinzhi Liu (Editor)

Write A Review

Hardcover | 1 December 1992

At a Glance

Hardcover
416 Pages

Dimensions(cm)
22.23 x 15.88 x 2.54

Hardcover

RRP $178.99

$161.75

10%OFF

or 4 interest-free payments of $40.44 with

Ships in 15 to 25 business days

The aim of this book is to: present a systematic account of recent developments in the stability theory in terms of two distinct measures; describe the current state of the art; show the essential unity achieved by wealth of applications; and provide a unified general structure applicable to several nonlinear problems. This book is dedicated to a systematic development of stability criteria in terms of two measures. It demonstrates the manifestations of general Lyapunov method in terms of two measures by showing how this effective technique can be adapted to study various apparently diverse nonlinear problems and shows how, in the present framework of two measures, one can unify criteria of Lyapunov stability, practical stability and boundedness properties. Interesting applications of real world problems are provided.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Dynamics & Statics Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Solids Dynamics & Vibration Mathematics Calculus & Mathematical Analysis

Applied Mathematics Chaos Theory Booktopia Publisher Services World Scientific Publishing

Preface
Basic Theory	p. 1
Definitions of stability	p. 2
Basic Lyapunov theory	p. 11
Comparison method	p. 25
Converse theorem	p. 39
Boundedness and Lagrange stability	p. 48
Practical stability	p. 55
(h[subscript o], h, M[subscript o])-stability	p. 68
Invariance principle	p. 79
Refinements	p. 89
Several Lyapunov functions	p. 91
Perturbations of Lyapunov functions	p. 107
Several Lyapunov functions (continued)	p. 125
Method of vector Lyapunov functions	p. 131
Perturbed systems	p. 153
Variation of Lyapunov's method	p. 169
Integral stability	p. 180
Perturbations of Lyapunov functions (continued)	p. 192
Method of higher derivatives	p. 200
Comparison systems	p. 207
Cone-valued Lyapunov functions	p. 214
Extensions	p. 223
Delay differential equations	p. 225
Impulsive differential systems	p. 255
Stabilization of control systems	p. 279
Impulsive integro-differential systems	p. 296
Discrete systems	p. 310
Random differential systems	p. 319
Dynamical systems on time scales	p. 330
Applications	p. 353
Holomorphic mechanical systems	p. 354
Motion of winged aircraft	p. 361
Models from economics	p. 364
Motion of a length-varying pendulum	p. 369
Population models	p. 373
Angular motion of rigid bodies	p. 380
Reference	p. 387
Index	p. 397
Table of Contents provided by Blackwell. All Rights Reserved.

Stability Analysis in Terms of Two Measures

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Applied Mathematics

Thermodynamics

Mathematics of Uncertainty Applied to Global Issues

Sustainability, Mistreatment of Women, Nuclear Power, Smart Cities, Digitalization

Dynamics of Marine Structures

Stochastic Control in Energy, Environmental and Resource Management Applications

Emerging Methodologies and Applications in Modelling, Identification and Control

Storytelling with Data

1st Edition - A Data Visualization Guide for Business Professionals

The Gamma Function (Advanced Topics in Mathematics)

Advanced Topics in Mathematics

Applied Multivariate Statistical Analysis

Volume 1

Advances in Numerical Methods and Analysis

Essentials of Medical Statistics

2nd Edition

A Mind for Numbers

How to Excel at Math and Science (Even If You Flunked Algebra)

Engineering Mathematics

5th edition

Advanced Engineering Mathematics, International Adaptation

The Maths Book

Big Ideas Simply Explained

Game Theory

2nd edition

Love Triangle

The Life-changing Magic of Trigonometry

Introduction to Stochastic Processes

2nd Edition

Intermediate Financial Theory

3rd Edition

MATLAB

6th Edition - A Practical Introduction to Programming and Problem Solving

Aerodynamics Principles for Air Transport Pilots

2nd Edition

Storytelling with Data

A Data Visualization Guide for Business Professionals, 10th Anniversary Edition

An Introduction To Quantum Field Theory

Swim Training Patterns

1st Edition - Plan your Training Sessions with the Power of Mathematics

Bird's Higher Engineering Mathematics

9th Edition

Elementary Linear Algebra

8th Edition - International Metric Edition

This product is categorised by