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Stability Analysis In Terms Of Two Measures - Hardcover

 
9789810213893: Stability Analysis In Terms Of Two Measures

Inhaltsangabe

The problems of modern society are both complex and multidisciplinary. In spite of the apparent diversity of problems, tools developed in one context are often adaptable to an entirely different situation. The concepts of Lyapunov stability have given rise to many new notions that are important in applications. Relative to each concept, there exists a sufficient literature parallel to Lyapunov's theory of stability. It is natural to ask whether we can find a notion and develop the corresponding theory which unifies and includes a variety of known concepts of stability in a single set up. The answer is yes and it is the development of stability theory in terms of two measures. It is in this spirit the authors see the importance of the present monograph. Its aim 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.

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Reseña del editor

The problems of modern society are both complex and multidisciplinary. In spite of the apparent diversity of problems, tools developed in one context are often adaptable to an entirely different situation. The concepts of Lyapunov stability have given rise to many new notions that are important in applications. Relative to each concept, there exists a sufficient literature parallel to Lyapunov's theory of stability. It is natural to ask whether we can find a notion and develop the corresponding theory which unifies and includes a variety of known concepts of stability in a single set up. The answer is yes and it is the development of stability theory in terms of two measures. It is in this spirit the authors see the importance of the present monograph. Its aim 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.

Reseña del editor

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.

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Lakshmikantham, Vangipuram
ISBN 10: 9810213891 ISBN 13: 9789810213893
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