Applications of Liapunov Methods in Stability Vol. 245 : Mathematics and Its Applications

By: Aristide Halanay, Vladimir Rasvan

Write A Review

Hardcover

At a Glance

Hardcover
252 Pages

Dimensions(cm)
23.0 x 16.51 x 2.54

Hardcover

$159.01

or 4 interest-free payments of $39.75 with

Ships in 5 to 7 business days

This volume, which coincides with the centennial anniversary of the publication of the celebrated monograph The General Problem of the Stability Motion by A.M. Liapunov, reviews the current state of the art of the theory and applications of the Liapunov methods. The book contains an Introduction and four chapters. Chapter 2 presents some general results in stability theory. The remaining chapters deal with applications in power engineering, chemical engineering, and in non-engineering fields such as economics and in the modelling of interacting species. The beauty of the results obtained, the diversity of mathematical tools employed, and the described approach to mathematical modelling provide stimulating considerations for applications in many other fields. For mathematicians and engineers whose work involves the study and applications of stability theory in systems.

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.

Preface
About the Notations
Introduction	p. 1
Some General Results in Stability Theory	p. 15
Linear Systems with Constant Coefficients. Stability by the First Approximation	p. 17
Liapunov Functions	p. 23
Application of Liapunov Functions in Some Problems of Hydraulic Engineering	p. 35
Stability Problems in Power Engineering	p. 61
Stability of Synchronous Generators. Mathematical Models of Synchronous Machine	p. 61
Liapunov Functions Associated with Synchronous Machines	p. 68
Inherent Stability of Synchronous Machines	p. 71
Stability of the Synchronous Machine with Prime Mover and Speed Governor	p. 74
The Domain of Admissible Manoeuvres	p. 78
The Reduction Principle and Global behaviour of the Synchronous Generator with Prime Mover and Speed Governor	p. 80
Stabilization of Class of Steam Turbines for Heat-Electricity Generation	p. 85
Configurations and Mathematical Models	p. 86
The Invariant Set of the Models	p. 87
Steady-States	p. 89
Systems in Deviations and Inherent Stability	p. 91
Stabilization	p. 93
Appendix 1. The Theorem of G.A. Leonov	p. 101
Appendix 2. A Second Order Equation	p. 106
Appendix 3. Liapunov Equations	p. 111
Appendix 4. The Yakubovich - Kalman - Popov Lemma	p. 113
Appendix 5. A Result Concerning Exponential Stability	p. 117
Stability Problems in Chemical Engineering	p. 125
First Model in Chemical Kinetics	p. 125
Stability of Closed Chemical System Subject to Mass-Action Law	p. 131
The Mathematical Model	p. 131
Equilibrium Points	p. 138
The Liapunov Function and its Properties	p. 143
Stability Results and Qualitative Properties	p. 148
Processes in Plate Columns	p. 153
The Invariant Set of the Model	p. 160
Steady State Solutions	p. 163
Stability of Steady State	p. 173
Stability Problems in Non-Engineering Fields	p. 191
Stability of Competitive Equilibrium in Walrasian Economic Model	p. 191
The Model	p. 191
Properties of the Model	p. 193
Stability	p. 203
Volterra Models of Interacting Species	p. 205
Other Properties of Dissipative Communities	p. 212
A Simple Model with Harvesting	p. 216
Appendix 1. Existence of Equilibria in Walrasian Economic Model	p. 222
Index	p. 235
Table of Contents provided by Blackwell. All Rights Reserved.

Applications of Liapunov Methods in Stability Vol. 245 : Mathematics and Its Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Nonlinear Science

Variational Methods in Nonlinear Analysis

Optimization and Partial Differential Equations Applications

Iterative Methods for Linear and Nonlinear Equations

Frontiers in Applied Mathematics

NONLINEAR WORKBOOK (6TH ED)

Chaos, Fractals, Cellular Automata, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic With C++, Java And Symbolicc++ Programs (6th Edition)

Power Series Solutions to Nonlinear Ordinary Differential Equations:

And Related Problems of Mathematical Physics, Engineering, and Life Sciences

Consensus and Synchronization

From the Euclidean Space and the Circle to Lie Groups

Lectures on Systems, Control and Information : Lectures at the Morningside Center of Mathematics

AMS/IP Studies in Advanced Mathematics

Advanced Topics in Nonlinear Control Systems

World Scientific Series on Nonlinear Science, Series A

Invariant Sets for Windows

World Scientific Series on Nonlinear Science. Series A, Monographs and Treatises, V. 37.

Some Current Topics on Nonlinear Conservation Laws : Lectures at the Morningside Center of Mathematics

AMS/IP Studies in Advanced Mathematics

Universality and Emergent Computation in Cellular Neural Networks

World Scientific Series on Nonlinear Science, Series A, 43

Smooth Dynamical Systems

Advanced Series in Nonlinear Dynamics

Nonlinear Workbook, The

Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression Programming, Wavelets, Fuzzy Logic With C++, Java And Symbolic C++ Programs (2nd Edition)

Nonlinearity, Integrability and All That : Twenty Years after Needs '79 - Proceedings of the Workshop - Lecce, Italy 1-10 July 1999

Twenty Years after Needs '79 - Proceedings of the Workshop - Lecce, Italy 1-10 July 1999

Nonlinear Dynamics : From Lasers to Butterflies

From Lasers to Butterflies

Peyresq Lectures on Nonlinear Phenomena

Physiology, Promiscuity and Prophecy at the Millennium : A Tale of Tails

A Tale of Tails

Nonlinear Workbook, The

Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic With C++, Java And Symbolicc++ Programs (3rd Edition)

Nonlinear Workbook, The

Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic With C++, Java And Symbolicc++ Programs (3rd Edition)

Electrorheological Fluids and Magnetorheological Suspensions (Ermr 2004) - Proceedings of the Ninth International Conference

Proceedings of the Ninth International Conference, Beijing, China, 29 August - 3 September, 2004

Optimization in Operations Research

Nonlinear Workbook, The

Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic With C++, Java And Symbolicc++ Programs (4th Edition)

Singular Elliptic Problems

Bifurcation & Asymptotic Analysis

New Nonlinear Phenomena Research

Combinatorial Constructions in Ergodic Theory and Dynamics

University Lecture Series

This product is categorised by