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Matrix Diagonal Stability in Systems and Computation by Amit Bhaya, Eugenius Kaszkurewicz (Paperback, 2012)

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This monograph presents a collection of results, observations, and examples related to dynamical systems described by linear and nonlinear ordinary differential and difference equations. In particular, dynamical systems that are susceptible to analysis by the Liapunov approach are considered. The naive observation that certain diagonal-type Liapunov functions are ubiquitous in the literature attracted the attention of the authors and led to some natural questions. Why does this happen so often? What are the spe cial virtues of these functions in this context? Do they occur so frequently merely because they belong to the simplest class of Liapunov functions and are thus more convenient, or are there any more specific reasons? This monograph constitutes the authors' synthesis of the work on this subject that has been jointly developed by them, among others, producing and compiling results, properties, and examples for many years, aiming to answer these questions and also to formalize some of the folklore or cul ture that has grown around diagonal stability and diagonal-type Liapunov functions. A natural answer to these questions would be that the use of diagonal type Liapunov functions is frequent because of their simplicity within the class of all possible Liapunov functions. This monograph shows that, although this obvious interpretation is often adequate, there are many in stances in which the Liapunov approach is best taken advantage of using diagonal-type Liapunov functions. In fact, they yield necessary and suffi cient stability conditions for some classes of nonlinear dynamical systems.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461271055
eBay Product ID (ePID)
148770379

Product Key Features

Author
Amit Bhaya, Eugenius Kaszkurewicz
Publication Name
Matrix Diagonal Stability in Systems and Computation
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2012
Type
Textbook
Number of Pages
267 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
438g

Additional Product Features

Title_Author
Amit Bhaya, Eugenius Kaszkurewicz
Country/Region of Manufacture
United States

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Matrix Diagonal Stability in Systems and Computation by Amit Bhaya, Eugenius Kaszkurewicz (Paperback, 2012)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

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Save on Adult Learning & University

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